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Finding the Third Proportional to 15,605.16 and 24,820.17

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Solution

The third proportional to 15,605.16 and 24,820.17 is: 39,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,605.16 : 24,820.17 = 24,820.17 : x
  2. Step 2: Convert to fraction form
    15,605.16/24,820.17 = 24,820.17/x
  3. Step 3: Cross multiply
    15,605.16x = 24,820.17 × 24,820.17
  4. Step 4: Simplify right side
    15,605.16x = 616,040,931.90
  5. Step 5: Solve for x
    x = 616,040,931.90/15,605.16
  6. Step 6: Final answer
    x = 39,476.76

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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.