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Finding the Third Proportional to 1,397.67 and 2,232.14

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Solution

The third proportional to 1,397.67 and 2,232.14 is: 3,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.67 : 2,232.14 = 2,232.14 : x
  2. Step 2: Convert to fraction form
    1,397.67/2,232.14 = 2,232.14/x
  3. Step 3: Cross multiply
    1,397.67x = 2,232.14 × 2,232.14
  4. Step 4: Simplify right side
    1,397.67x = 4,982,451.77
  5. Step 5: Solve for x
    x = 4,982,451.77/1,397.67
  6. Step 6: Final answer
    x = 3,564.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.