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Finding the Third Proportional to 32,894 and 71,042

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Solution

The third proportional to 32,894 and 71,042 is: 153,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,894 : 71,042 = 71,042 : x
  2. Step 2: Convert to fraction form
    32,894/71,042 = 71,042/x
  3. Step 3: Cross multiply
    32,894x = 71,042 × 71,042
  4. Step 4: Simplify right side
    32,894x = 5,046,965,764
  5. Step 5: Solve for x
    x = 5,046,965,764/32,894
  6. Step 6: Final answer
    x = 153,431.20

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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.