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Finding the Third Proportional to 747.35 and 1,532.04

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Solution

The third proportional to 747.35 and 1,532.04 is: 3,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.35 : 1,532.04 = 1,532.04 : x
  2. Step 2: Convert to fraction form
    747.35/1,532.04 = 1,532.04/x
  3. Step 3: Cross multiply
    747.35x = 1,532.04 × 1,532.04
  4. Step 4: Simplify right side
    747.35x = 2,347,143.69
  5. Step 5: Solve for x
    x = 2,347,143.69/747.35
  6. Step 6: Final answer
    x = 3,140.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.