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Finding the Third Proportional to 41.80 and 91.58

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Solution

The third proportional to 41.80 and 91.58 is: 200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.80 : 91.58 = 91.58 : x
  2. Step 2: Convert to fraction form
    41.80/91.58 = 91.58/x
  3. Step 3: Cross multiply
    41.80x = 91.58 × 91.58
  4. Step 4: Simplify right side
    41.80x = 8,387.27
  5. Step 5: Solve for x
    x = 8,387.27/41.80
  6. Step 6: Final answer
    x = 200.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.