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Finding the Third Proportional to 41.77 and 89.65

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Solution

The third proportional to 41.77 and 89.65 is: 192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.77 : 89.65 = 89.65 : x
  2. Step 2: Convert to fraction form
    41.77/89.65 = 89.65/x
  3. Step 3: Cross multiply
    41.77x = 89.65 × 89.65
  4. Step 4: Simplify right side
    41.77x = 8,036.84
  5. Step 5: Solve for x
    x = 8,036.84/41.77
  6. Step 6: Final answer
    x = 192.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.