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Finding the Third Proportional to 731.81 and 1,105.17

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Solution

The third proportional to 731.81 and 1,105.17 is: 1,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.81 : 1,105.17 = 1,105.17 : x
  2. Step 2: Convert to fraction form
    731.81/1,105.17 = 1,105.17/x
  3. Step 3: Cross multiply
    731.81x = 1,105.17 × 1,105.17
  4. Step 4: Simplify right side
    731.81x = 1,221,404.87
  5. Step 5: Solve for x
    x = 1,221,404.87/731.81
  6. Step 6: Final answer
    x = 1,669.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.