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Finding the Third Proportional to 32,982.19 and 71,092.69

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Solution

The third proportional to 32,982.19 and 71,092.69 is: 153,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,982.19 : 71,092.69 = 71,092.69 : x
  2. Step 2: Convert to fraction form
    32,982.19/71,092.69 = 71,092.69/x
  3. Step 3: Cross multiply
    32,982.19x = 71,092.69 × 71,092.69
  4. Step 4: Simplify right side
    32,982.19x = 5,054,170,215.97
  5. Step 5: Solve for x
    x = 5,054,170,215.97/32,982.19
  6. Step 6: Final answer
    x = 153,239.39

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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.