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Finding the Third Proportional to 38.53 and 59.72

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Solution

The third proportional to 38.53 and 59.72 is: 92.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.53 : 59.72 = 59.72 : x
  2. Step 2: Convert to fraction form
    38.53/59.72 = 59.72/x
  3. Step 3: Cross multiply
    38.53x = 59.72 × 59.72
  4. Step 4: Simplify right side
    38.53x = 3,566.70
  5. Step 5: Solve for x
    x = 3,566.70/38.53
  6. Step 6: Final answer
    x = 92.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.