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Finding the Third Proportional to 31.64 and 48.73

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Solution

The third proportional to 31.64 and 48.73 is: 75.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.64 : 48.73 = 48.73 : x
  2. Step 2: Convert to fraction form
    31.64/48.73 = 48.73/x
  3. Step 3: Cross multiply
    31.64x = 48.73 × 48.73
  4. Step 4: Simplify right side
    31.64x = 2,374.28
  5. Step 5: Solve for x
    x = 2,374.28/31.64
  6. Step 6: Final answer
    x = 75.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.