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Finding the Third Proportional to 32.87 and 70.82

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Solution

The third proportional to 32.87 and 70.82 is: 152.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.87 : 70.82 = 70.82 : x
  2. Step 2: Convert to fraction form
    32.87/70.82 = 70.82/x
  3. Step 3: Cross multiply
    32.87x = 70.82 × 70.82
  4. Step 4: Simplify right side
    32.87x = 5,015.79
  5. Step 5: Solve for x
    x = 5,015.79/32.87
  6. Step 6: Final answer
    x = 152.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.