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Finding the Third Proportional to 41.09 and 88.62

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Solution

The third proportional to 41.09 and 88.62 is: 191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.09 : 88.62 = 88.62 : x
  2. Step 2: Convert to fraction form
    41.09/88.62 = 88.62/x
  3. Step 3: Cross multiply
    41.09x = 88.62 × 88.62
  4. Step 4: Simplify right side
    41.09x = 7,854.38
  5. Step 5: Solve for x
    x = 7,854.38/41.09
  6. Step 6: Final answer
    x = 191.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.