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Finding the Third Proportional to 42.71 and 51.26

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Solution

The third proportional to 42.71 and 51.26 is: 61.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.71 : 51.26 = 51.26 : x
  2. Step 2: Convert to fraction form
    42.71/51.26 = 51.26/x
  3. Step 3: Cross multiply
    42.71x = 51.26 × 51.26
  4. Step 4: Simplify right side
    42.71x = 2,627.36
  5. Step 5: Solve for x
    x = 2,627.36/42.71
  6. Step 6: Final answer
    x = 61.51

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.