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Finding the Third Proportional to 15,464 and 24,898

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Solution

The third proportional to 15,464 and 24,898 is: 40,087.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,464 : 24,898 = 24,898 : x
  2. Step 2: Convert to fraction form
    15,464/24,898 = 24,898/x
  3. Step 3: Cross multiply
    15,464x = 24,898 × 24,898
  4. Step 4: Simplify right side
    15,464x = 619,910,404
  5. Step 5: Solve for x
    x = 619,910,404/15,464
  6. Step 6: Final answer
    x = 40,087.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.