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Finding the Third Proportional to 32.41 and 73.76

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Solution

The third proportional to 32.41 and 73.76 is: 167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.41 : 73.76 = 73.76 : x
  2. Step 2: Convert to fraction form
    32.41/73.76 = 73.76/x
  3. Step 3: Cross multiply
    32.41x = 73.76 × 73.76
  4. Step 4: Simplify right side
    32.41x = 5,440.21
  5. Step 5: Solve for x
    x = 5,440.21/32.41
  6. Step 6: Final answer
    x = 167.84

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.