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Finding the Third Proportional to 41.29 and 88.28

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Solution

The third proportional to 41.29 and 88.28 is: 188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.29 : 88.28 = 88.28 : x
  2. Step 2: Convert to fraction form
    41.29/88.28 = 88.28/x
  3. Step 3: Cross multiply
    41.29x = 88.28 × 88.28
  4. Step 4: Simplify right side
    41.29x = 7,792.89
  5. Step 5: Solve for x
    x = 7,792.89/41.29
  6. Step 6: Final answer
    x = 188.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.