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Finding the Third Proportional to 747.94 and 1,626.88

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Solution

The third proportional to 747.94 and 1,626.88 is: 3,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.94 : 1,626.88 = 1,626.88 : x
  2. Step 2: Convert to fraction form
    747.94/1,626.88 = 1,626.88/x
  3. Step 3: Cross multiply
    747.94x = 1,626.88 × 1,626.88
  4. Step 4: Simplify right side
    747.94x = 2,646,722.27
  5. Step 5: Solve for x
    x = 2,646,722.27/747.94
  6. Step 6: Final answer
    x = 3,538.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.