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Finding the Third Proportional to 32,537 and 69,367

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Solution

The third proportional to 32,537 and 69,367 is: 147,886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,537 : 69,367 = 69,367 : x
  2. Step 2: Convert to fraction form
    32,537/69,367 = 69,367/x
  3. Step 3: Cross multiply
    32,537x = 69,367 × 69,367
  4. Step 4: Simplify right side
    32,537x = 4,811,780,689
  5. Step 5: Solve for x
    x = 4,811,780,689/32,537
  6. Step 6: Final answer
    x = 147,886.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.