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Finding the Third Proportional to 732.38 and 1,151.02

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Solution

The third proportional to 732.38 and 1,151.02 is: 1,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.38 : 1,151.02 = 1,151.02 : x
  2. Step 2: Convert to fraction form
    732.38/1,151.02 = 1,151.02/x
  3. Step 3: Cross multiply
    732.38x = 1,151.02 × 1,151.02
  4. Step 4: Simplify right side
    732.38x = 1,324,836.97
  5. Step 5: Solve for x
    x = 1,324,836.97/732.38
  6. Step 6: Final answer
    x = 1,808.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.