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Finding the Third Proportional to 747.56 and 1,626.19

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Solution

The third proportional to 747.56 and 1,626.19 is: 3,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.56 : 1,626.19 = 1,626.19 : x
  2. Step 2: Convert to fraction form
    747.56/1,626.19 = 1,626.19/x
  3. Step 3: Cross multiply
    747.56x = 1,626.19 × 1,626.19
  4. Step 4: Simplify right side
    747.56x = 2,644,485.79
  5. Step 5: Solve for x
    x = 2,644,485.79/747.56
  6. Step 6: Final answer
    x = 3,537.48

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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.