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Finding the Third Proportional to 32,234.63 and 71,010

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Solution

The third proportional to 32,234.63 and 71,010 is: 156,428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,234.63 : 71,010 = 71,010 : x
  2. Step 2: Convert to fraction form
    32,234.63/71,010 = 71,010/x
  3. Step 3: Cross multiply
    32,234.63x = 71,010 × 71,010
  4. Step 4: Simplify right side
    32,234.63x = 5,042,420,100
  5. Step 5: Solve for x
    x = 5,042,420,100/32,234.63
  6. Step 6: Final answer
    x = 156,428.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.