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Finding the Third Proportional to 32 and 61

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Solution

The third proportional to 32 and 61 is: 116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32 : 61 = 61 : x
  2. Step 2: Convert to fraction form
    32/61 = 61/x
  3. Step 3: Cross multiply
    32x = 61 × 61
  4. Step 4: Simplify right side
    32x = 3,721
  5. Step 5: Solve for x
    x = 3,721/32
  6. Step 6: Final answer
    x = 116.28

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.