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Finding the Third Proportional to 9,256.13 and 19,021.50

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Solution

The third proportional to 9,256.13 and 19,021.50 is: 39,089.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.13 : 19,021.50 = 19,021.50 : x
  2. Step 2: Convert to fraction form
    9,256.13/19,021.50 = 19,021.50/x
  3. Step 3: Cross multiply
    9,256.13x = 19,021.50 × 19,021.50
  4. Step 4: Simplify right side
    9,256.13x = 361,817,462.25
  5. Step 5: Solve for x
    x = 361,817,462.25/9,256.13
  6. Step 6: Final answer
    x = 39,089.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.