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Finding the Third Proportional to 39.66 and 59.48

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Solution

The third proportional to 39.66 and 59.48 is: 89.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.66 : 59.48 = 59.48 : x
  2. Step 2: Convert to fraction form
    39.66/59.48 = 59.48/x
  3. Step 3: Cross multiply
    39.66x = 59.48 × 59.48
  4. Step 4: Simplify right side
    39.66x = 3,538.39
  5. Step 5: Solve for x
    x = 3,538.39/39.66
  6. Step 6: Final answer
    x = 89.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.