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Finding the Third Proportional to 37.97 and 51.18

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Solution

The third proportional to 37.97 and 51.18 is: 68.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.97 : 51.18 = 51.18 : x
  2. Step 2: Convert to fraction form
    37.97/51.18 = 51.18/x
  3. Step 3: Cross multiply
    37.97x = 51.18 × 51.18
  4. Step 4: Simplify right side
    37.97x = 2,619.26
  5. Step 5: Solve for x
    x = 2,619.26/37.97
  6. Step 6: Final answer
    x = 68.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.