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Finding the Third Proportional to 15,351.40 and 24,411.38

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Solution

The third proportional to 15,351.40 and 24,411.38 is: 38,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,351.40 : 24,411.38 = 24,411.38 : x
  2. Step 2: Convert to fraction form
    15,351.40/24,411.38 = 24,411.38/x
  3. Step 3: Cross multiply
    15,351.40x = 24,411.38 × 24,411.38
  4. Step 4: Simplify right side
    15,351.40x = 595,915,229.39
  5. Step 5: Solve for x
    x = 595,915,229.39/15,351.40
  6. Step 6: Final answer
    x = 38,818.30

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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.