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Finding the Third Proportional to 938.81 and 1,472.91

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Solution

The third proportional to 938.81 and 1,472.91 is: 2,310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.81 : 1,472.91 = 1,472.91 : x
  2. Step 2: Convert to fraction form
    938.81/1,472.91 = 1,472.91/x
  3. Step 3: Cross multiply
    938.81x = 1,472.91 × 1,472.91
  4. Step 4: Simplify right side
    938.81x = 2,169,452.82
  5. Step 5: Solve for x
    x = 2,169,452.82/938.81
  6. Step 6: Final answer
    x = 2,310.85

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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.