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Finding the Third Proportional to 24,682 and 39,747

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Solution

The third proportional to 24,682 and 39,747 is: 64,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,682 : 39,747 = 39,747 : x
  2. Step 2: Convert to fraction form
    24,682/39,747 = 39,747/x
  3. Step 3: Cross multiply
    24,682x = 39,747 × 39,747
  4. Step 4: Simplify right side
    24,682x = 1,579,824,009
  5. Step 5: Solve for x
    x = 1,579,824,009/24,682
  6. Step 6: Final answer
    x = 64,007.13

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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.