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Finding the Third Proportional to 31.48 and 47.62

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Solution

The third proportional to 31.48 and 47.62 is: 72.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.48 : 47.62 = 47.62 : x
  2. Step 2: Convert to fraction form
    31.48/47.62 = 47.62/x
  3. Step 3: Cross multiply
    31.48x = 47.62 × 47.62
  4. Step 4: Simplify right side
    31.48x = 2,267.58
  5. Step 5: Solve for x
    x = 2,267.58/31.48
  6. Step 6: Final answer
    x = 72.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.