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Finding the Third Proportional to 41.04 and 60.78

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Solution

The third proportional to 41.04 and 60.78 is: 89.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.04 : 60.78 = 60.78 : x
  2. Step 2: Convert to fraction form
    41.04/60.78 = 60.78/x
  3. Step 3: Cross multiply
    41.04x = 60.78 × 60.78
  4. Step 4: Simplify right side
    41.04x = 3,693.77
  5. Step 5: Solve for x
    x = 3,693.77/41.04
  6. Step 6: Final answer
    x = 89.99

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.