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Finding the Third Proportional to 12,532 and 29,689

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Solution

The third proportional to 12,532 and 29,689 is: 70,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532 : 29,689 = 29,689 : x
  2. Step 2: Convert to fraction form
    12,532/29,689 = 29,689/x
  3. Step 3: Cross multiply
    12,532x = 29,689 × 29,689
  4. Step 4: Simplify right side
    12,532x = 881,436,721
  5. Step 5: Solve for x
    x = 881,436,721/12,532
  6. Step 6: Final answer
    x = 70,334.88

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.