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Finding the Third Proportional to 32 and 71

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Solution

The third proportional to 32 and 71 is: 157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32 : 71 = 71 : x
  2. Step 2: Convert to fraction form
    32/71 = 71/x
  3. Step 3: Cross multiply
    32x = 71 × 71
  4. Step 4: Simplify right side
    32x = 5,041
  5. Step 5: Solve for x
    x = 5,041/32
  6. Step 6: Final answer
    x = 157.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.