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Finding the Third Proportional to 37.60 and 60.74

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Solution

The third proportional to 37.60 and 60.74 is: 98.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.60 : 60.74 = 60.74 : x
  2. Step 2: Convert to fraction form
    37.60/60.74 = 60.74/x
  3. Step 3: Cross multiply
    37.60x = 60.74 × 60.74
  4. Step 4: Simplify right side
    37.60x = 3,689.76
  5. Step 5: Solve for x
    x = 3,689.76/37.60
  6. Step 6: Final answer
    x = 98.12

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.