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Finding the Third Proportional to 48.09 and 66.87

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Solution

The third proportional to 48.09 and 66.87 is: 92.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.09 : 66.87 = 66.87 : x
  2. Step 2: Convert to fraction form
    48.09/66.87 = 66.87/x
  3. Step 3: Cross multiply
    48.09x = 66.87 × 66.87
  4. Step 4: Simplify right side
    48.09x = 4,471.22
  5. Step 5: Solve for x
    x = 4,471.22/48.09
  6. Step 6: Final answer
    x = 92.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.