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Finding the Third Proportional to 1,129.92 and 1,332.42

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Solution

The third proportional to 1,129.92 and 1,332.42 is: 1,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.92 : 1,332.42 = 1,332.42 : x
  2. Step 2: Convert to fraction form
    1,129.92/1,332.42 = 1,332.42/x
  3. Step 3: Cross multiply
    1,129.92x = 1,332.42 × 1,332.42
  4. Step 4: Simplify right side
    1,129.92x = 1,775,348.05
  5. Step 5: Solve for x
    x = 1,775,348.05/1,129.92
  6. Step 6: Final answer
    x = 1,571.21

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.