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Finding the Third Proportional to 32.07 and 41.87

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Solution

The third proportional to 32.07 and 41.87 is: 54.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.07 : 41.87 = 41.87 : x
  2. Step 2: Convert to fraction form
    32.07/41.87 = 41.87/x
  3. Step 3: Cross multiply
    32.07x = 41.87 × 41.87
  4. Step 4: Simplify right side
    32.07x = 1,752.69
  5. Step 5: Solve for x
    x = 1,752.69/32.07
  6. Step 6: Final answer
    x = 54.66

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.