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Finding the Third Proportional to 42.40 and 94.29

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Solution

The third proportional to 42.40 and 94.29 is: 209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.40 : 94.29 = 94.29 : x
  2. Step 2: Convert to fraction form
    42.40/94.29 = 94.29/x
  3. Step 3: Cross multiply
    42.40x = 94.29 × 94.29
  4. Step 4: Simplify right side
    42.40x = 8,890.43
  5. Step 5: Solve for x
    x = 8,890.43/42.40
  6. Step 6: Final answer
    x = 209.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.