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Finding the Third Proportional to 38.53 and 51.47

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Solution

The third proportional to 38.53 and 51.47 is: 68.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.53 : 51.47 = 51.47 : x
  2. Step 2: Convert to fraction form
    38.53/51.47 = 51.47/x
  3. Step 3: Cross multiply
    38.53x = 51.47 × 51.47
  4. Step 4: Simplify right side
    38.53x = 2,649.03
  5. Step 5: Solve for x
    x = 2,649.03/38.53
  6. Step 6: Final answer
    x = 68.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.