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Finding the Third Proportional to 32.41 and 71.84

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Solution

The third proportional to 32.41 and 71.84 is: 159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.41 : 71.84 = 71.84 : x
  2. Step 2: Convert to fraction form
    32.41/71.84 = 71.84/x
  3. Step 3: Cross multiply
    32.41x = 71.84 × 71.84
  4. Step 4: Simplify right side
    32.41x = 5,161.24
  5. Step 5: Solve for x
    x = 5,161.24/32.41
  6. Step 6: Final answer
    x = 159.23

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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.