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Finding the Third Proportional to 24,872 and 39,524

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Solution

The third proportional to 24,872 and 39,524 is: 62,807.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872 : 39,524 = 39,524 : x
  2. Step 2: Convert to fraction form
    24,872/39,524 = 39,524/x
  3. Step 3: Cross multiply
    24,872x = 39,524 × 39,524
  4. Step 4: Simplify right side
    24,872x = 1,562,146,576
  5. Step 5: Solve for x
    x = 1,562,146,576/24,872
  6. Step 6: Final answer
    x = 62,807.44

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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.