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Finding the Third Proportional to 49.57 and 66.02

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Solution

The third proportional to 49.57 and 66.02 is: 87.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.57 : 66.02 = 66.02 : x
  2. Step 2: Convert to fraction form
    49.57/66.02 = 66.02/x
  3. Step 3: Cross multiply
    49.57x = 66.02 × 66.02
  4. Step 4: Simplify right side
    49.57x = 4,359.09
  5. Step 5: Solve for x
    x = 4,359.09/49.57
  6. Step 6: Final answer
    x = 87.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.