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Finding the Third Proportional to 17,610.50 and 27,311

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Solution

The third proportional to 17,610.50 and 27,311 is: 42,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,610.50 : 27,311 = 27,311 : x
  2. Step 2: Convert to fraction form
    17,610.50/27,311 = 27,311/x
  3. Step 3: Cross multiply
    17,610.50x = 27,311 × 27,311
  4. Step 4: Simplify right side
    17,610.50x = 745,890,721
  5. Step 5: Solve for x
    x = 745,890,721/17,610.50
  6. Step 6: Final answer
    x = 42,354.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.