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Finding the Third Proportional to 32,397 and 69,715

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Solution

The third proportional to 32,397 and 69,715 is: 150,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,397 : 69,715 = 69,715 : x
  2. Step 2: Convert to fraction form
    32,397/69,715 = 69,715/x
  3. Step 3: Cross multiply
    32,397x = 69,715 × 69,715
  4. Step 4: Simplify right side
    32,397x = 4,860,181,225
  5. Step 5: Solve for x
    x = 4,860,181,225/32,397
  6. Step 6: Final answer
    x = 150,019.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.