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Finding the Third Proportional to 47.32 and 61.27

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Solution

The third proportional to 47.32 and 61.27 is: 79.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.32 : 61.27 = 61.27 : x
  2. Step 2: Convert to fraction form
    47.32/61.27 = 61.27/x
  3. Step 3: Cross multiply
    47.32x = 61.27 × 61.27
  4. Step 4: Simplify right side
    47.32x = 3,753.48
  5. Step 5: Solve for x
    x = 3,753.48/47.32
  6. Step 6: Final answer
    x = 79.32

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.