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Finding the Third Proportional to 82.78 and 97.78

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Solution

The third proportional to 82.78 and 97.78 is: 115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.78 : 97.78 = 97.78 : x
  2. Step 2: Convert to fraction form
    82.78/97.78 = 97.78/x
  3. Step 3: Cross multiply
    82.78x = 97.78 × 97.78
  4. Step 4: Simplify right side
    82.78x = 9,561.17
  5. Step 5: Solve for x
    x = 9,561.17/82.78
  6. Step 6: Final answer
    x = 115.50

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.