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Finding the Third Proportional to 32,874 and 71,001

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Solution

The third proportional to 32,874 and 71,001 is: 153,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874 : 71,001 = 71,001 : x
  2. Step 2: Convert to fraction form
    32,874/71,001 = 71,001/x
  3. Step 3: Cross multiply
    32,874x = 71,001 × 71,001
  4. Step 4: Simplify right side
    32,874x = 5,041,142,001
  5. Step 5: Solve for x
    x = 5,041,142,001/32,874
  6. Step 6: Final answer
    x = 153,347.39

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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.