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Finding the Third Proportional to 38,032 and 71,304

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Solution

The third proportional to 38,032 and 71,304 is: 133,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,032 : 71,304 = 71,304 : x
  2. Step 2: Convert to fraction form
    38,032/71,304 = 71,304/x
  3. Step 3: Cross multiply
    38,032x = 71,304 × 71,304
  4. Step 4: Simplify right side
    38,032x = 5,084,260,416
  5. Step 5: Solve for x
    x = 5,084,260,416/38,032
  6. Step 6: Final answer
    x = 133,683.75

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.