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Finding the Third Proportional to 38.81 and 59.53

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Solution

The third proportional to 38.81 and 59.53 is: 91.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.81 : 59.53 = 59.53 : x
  2. Step 2: Convert to fraction form
    38.81/59.53 = 59.53/x
  3. Step 3: Cross multiply
    38.81x = 59.53 × 59.53
  4. Step 4: Simplify right side
    38.81x = 3,543.97
  5. Step 5: Solve for x
    x = 3,543.97/38.81
  6. Step 6: Final answer
    x = 91.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.