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Finding the Third Proportional to 1,031.50 and 1,132.75

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Solution

The third proportional to 1,031.50 and 1,132.75 is: 1,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.50 : 1,132.75 = 1,132.75 : x
  2. Step 2: Convert to fraction form
    1,031.50/1,132.75 = 1,132.75/x
  3. Step 3: Cross multiply
    1,031.50x = 1,132.75 × 1,132.75
  4. Step 4: Simplify right side
    1,031.50x = 1,283,122.56
  5. Step 5: Solve for x
    x = 1,283,122.56/1,031.50
  6. Step 6: Final answer
    x = 1,243.94

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.