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Finding the Third Proportional to 44.65 and 68.20

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Solution

The third proportional to 44.65 and 68.20 is: 104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.65 : 68.20 = 68.20 : x
  2. Step 2: Convert to fraction form
    44.65/68.20 = 68.20/x
  3. Step 3: Cross multiply
    44.65x = 68.20 × 68.20
  4. Step 4: Simplify right side
    44.65x = 4,651.67
  5. Step 5: Solve for x
    x = 4,651.67/44.65
  6. Step 6: Final answer
    x = 104.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.