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Finding the Third Proportional to 42.38 and 66.56

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Solution

The third proportional to 42.38 and 66.56 is: 104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.38 : 66.56 = 66.56 : x
  2. Step 2: Convert to fraction form
    42.38/66.56 = 66.56/x
  3. Step 3: Cross multiply
    42.38x = 66.56 × 66.56
  4. Step 4: Simplify right side
    42.38x = 4,430.57
  5. Step 5: Solve for x
    x = 4,430.57/42.38
  6. Step 6: Final answer
    x = 104.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.