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Finding the Third Proportional to 44.51 and 67.29

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Solution

The third proportional to 44.51 and 67.29 is: 101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.51 : 67.29 = 67.29 : x
  2. Step 2: Convert to fraction form
    44.51/67.29 = 67.29/x
  3. Step 3: Cross multiply
    44.51x = 67.29 × 67.29
  4. Step 4: Simplify right side
    44.51x = 4,527.82
  5. Step 5: Solve for x
    x = 4,527.82/44.51
  6. Step 6: Final answer
    x = 101.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.