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Finding the Third Proportional to 23,681 and 39,463

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Solution

The third proportional to 23,681 and 39,463 is: 65,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,681 : 39,463 = 39,463 : x
  2. Step 2: Convert to fraction form
    23,681/39,463 = 39,463/x
  3. Step 3: Cross multiply
    23,681x = 39,463 × 39,463
  4. Step 4: Simplify right side
    23,681x = 1,557,328,369
  5. Step 5: Solve for x
    x = 1,557,328,369/23,681
  6. Step 6: Final answer
    x = 65,762.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.