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Finding the Third Proportional to 39.02 and 59.41

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Solution

The third proportional to 39.02 and 59.41 is: 90.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.02 : 59.41 = 59.41 : x
  2. Step 2: Convert to fraction form
    39.02/59.41 = 59.41/x
  3. Step 3: Cross multiply
    39.02x = 59.41 × 59.41
  4. Step 4: Simplify right side
    39.02x = 3,530.03
  5. Step 5: Solve for x
    x = 3,530.03/39.02
  6. Step 6: Final answer
    x = 90.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.