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Finding the Third Proportional to 742.17 and 1,575.47

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Solution

The third proportional to 742.17 and 1,575.47 is: 3,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.17 : 1,575.47 = 1,575.47 : x
  2. Step 2: Convert to fraction form
    742.17/1,575.47 = 1,575.47/x
  3. Step 3: Cross multiply
    742.17x = 1,575.47 × 1,575.47
  4. Step 4: Simplify right side
    742.17x = 2,482,092.55
  5. Step 5: Solve for x
    x = 2,482,092.55/742.17
  6. Step 6: Final answer
    x = 3,344.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.