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Finding the Third Proportional to 42.75 and 97.88

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Solution

The third proportional to 42.75 and 97.88 is: 224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.75 : 97.88 = 97.88 : x
  2. Step 2: Convert to fraction form
    42.75/97.88 = 97.88/x
  3. Step 3: Cross multiply
    42.75x = 97.88 × 97.88
  4. Step 4: Simplify right side
    42.75x = 9,579.52
  5. Step 5: Solve for x
    x = 9,579.52/42.75
  6. Step 6: Final answer
    x = 224.08

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.