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Finding the Third Proportional to 7.88 and 39.94

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Solution

The third proportional to 7.88 and 39.94 is: 202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.88 : 39.94 = 39.94 : x
  2. Step 2: Convert to fraction form
    7.88/39.94 = 39.94/x
  3. Step 3: Cross multiply
    7.88x = 39.94 × 39.94
  4. Step 4: Simplify right side
    7.88x = 1,595.00
  5. Step 5: Solve for x
    x = 1,595.00/7.88
  6. Step 6: Final answer
    x = 202.54

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Why These Related Problems?

These problems maintain the same ratio (5.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.