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Finding the Third Proportional to 31.32 and 70.72

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Solution

The third proportional to 31.32 and 70.72 is: 159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.32 : 70.72 = 70.72 : x
  2. Step 2: Convert to fraction form
    31.32/70.72 = 70.72/x
  3. Step 3: Cross multiply
    31.32x = 70.72 × 70.72
  4. Step 4: Simplify right side
    31.32x = 5,000.87
  5. Step 5: Solve for x
    x = 5,000.87/31.32
  6. Step 6: Final answer
    x = 159.65

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.