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Finding the Third Proportional to 39.39 and 59.33

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Solution

The third proportional to 39.39 and 59.33 is: 89.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.39 : 59.33 = 59.33 : x
  2. Step 2: Convert to fraction form
    39.39/59.33 = 59.33/x
  3. Step 3: Cross multiply
    39.39x = 59.33 × 59.33
  4. Step 4: Simplify right side
    39.39x = 3,519.59
  5. Step 5: Solve for x
    x = 3,519.59/39.39
  6. Step 6: Final answer
    x = 89.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.