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Finding the Third Proportional to 9,109.13 and 19,024.88

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Solution

The third proportional to 9,109.13 and 19,024.88 is: 39,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.13 : 19,024.88 = 19,024.88 : x
  2. Step 2: Convert to fraction form
    9,109.13/19,024.88 = 19,024.88/x
  3. Step 3: Cross multiply
    9,109.13x = 19,024.88 × 19,024.88
  4. Step 4: Simplify right side
    9,109.13x = 361,945,868.77
  5. Step 5: Solve for x
    x = 361,945,868.77/9,109.13
  6. Step 6: Final answer
    x = 39,734.43

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.