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Finding the Third Proportional to 32,988 and 71,897

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Solution

The third proportional to 32,988 and 71,897 is: 156,698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,988 : 71,897 = 71,897 : x
  2. Step 2: Convert to fraction form
    32,988/71,897 = 71,897/x
  3. Step 3: Cross multiply
    32,988x = 71,897 × 71,897
  4. Step 4: Simplify right side
    32,988x = 5,169,178,609
  5. Step 5: Solve for x
    x = 5,169,178,609/32,988
  6. Step 6: Final answer
    x = 156,698.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.