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Finding the Third Proportional to 44.49 and 97.53

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Solution

The third proportional to 44.49 and 97.53 is: 213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.49 : 97.53 = 97.53 : x
  2. Step 2: Convert to fraction form
    44.49/97.53 = 97.53/x
  3. Step 3: Cross multiply
    44.49x = 97.53 × 97.53
  4. Step 4: Simplify right side
    44.49x = 9,512.54
  5. Step 5: Solve for x
    x = 9,512.54/44.49
  6. Step 6: Final answer
    x = 213.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.