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Finding the Third Proportional to 32,882 and 71,019

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Solution

The third proportional to 32,882 and 71,019 is: 153,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,882 : 71,019 = 71,019 : x
  2. Step 2: Convert to fraction form
    32,882/71,019 = 71,019/x
  3. Step 3: Cross multiply
    32,882x = 71,019 × 71,019
  4. Step 4: Simplify right side
    32,882x = 5,043,698,361
  5. Step 5: Solve for x
    x = 5,043,698,361/32,882
  6. Step 6: Final answer
    x = 153,387.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.