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Finding the Third Proportional to 8.71 and 9.95

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Solution

The third proportional to 8.71 and 9.95 is: 11.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.71 : 9.95 = 9.95 : x
  2. Step 2: Convert to fraction form
    8.71/9.95 = 9.95/x
  3. Step 3: Cross multiply
    8.71x = 9.95 × 9.95
  4. Step 4: Simplify right side
    8.71x = 98.98
  5. Step 5: Solve for x
    x = 98.98/8.71
  6. Step 6: Final answer
    x = 11.36

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.