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Finding the Third Proportional to 5,720.06 and 9,108.56

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Solution

The third proportional to 5,720.06 and 9,108.56 is: 14,504.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.06 : 9,108.56 = 9,108.56 : x
  2. Step 2: Convert to fraction form
    5,720.06/9,108.56 = 9,108.56/x
  3. Step 3: Cross multiply
    5,720.06x = 9,108.56 × 9,108.56
  4. Step 4: Simplify right side
    5,720.06x = 82,965,910.82
  5. Step 5: Solve for x
    x = 82,965,910.82/5,720.06
  6. Step 6: Final answer
    x = 14,504.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.