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Finding the Third Proportional to 15,715.13 and 24,598.13

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Solution

The third proportional to 15,715.13 and 24,598.13 is: 38,502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,715.13 : 24,598.13 = 24,598.13 : x
  2. Step 2: Convert to fraction form
    15,715.13/24,598.13 = 24,598.13/x
  3. Step 3: Cross multiply
    15,715.13x = 24,598.13 × 24,598.13
  4. Step 4: Simplify right side
    15,715.13x = 605,067,753.52
  5. Step 5: Solve for x
    x = 605,067,753.52/15,715.13
  6. Step 6: Final answer
    x = 38,502.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.