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Finding the Third Proportional to 44.93 and 54.74

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Solution

The third proportional to 44.93 and 54.74 is: 66.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.93 : 54.74 = 54.74 : x
  2. Step 2: Convert to fraction form
    44.93/54.74 = 54.74/x
  3. Step 3: Cross multiply
    44.93x = 54.74 × 54.74
  4. Step 4: Simplify right side
    44.93x = 2,996.28
  5. Step 5: Solve for x
    x = 2,996.28/44.93
  6. Step 6: Final answer
    x = 66.69

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.