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Finding the Third Proportional to 42.84 and 96.66

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Solution

The third proportional to 42.84 and 96.66 is: 218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.84 : 96.66 = 96.66 : x
  2. Step 2: Convert to fraction form
    42.84/96.66 = 96.66/x
  3. Step 3: Cross multiply
    42.84x = 96.66 × 96.66
  4. Step 4: Simplify right side
    42.84x = 9,342.43
  5. Step 5: Solve for x
    x = 9,342.43/42.84
  6. Step 6: Final answer
    x = 218.06

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.