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Finding the Third Proportional to 15,964 and 24,762

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Solution

The third proportional to 15,964 and 24,762 is: 38,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,964 : 24,762 = 24,762 : x
  2. Step 2: Convert to fraction form
    15,964/24,762 = 24,762/x
  3. Step 3: Cross multiply
    15,964x = 24,762 × 24,762
  4. Step 4: Simplify right side
    15,964x = 613,156,644
  5. Step 5: Solve for x
    x = 613,156,644/15,964
  6. Step 6: Final answer
    x = 38,408.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.