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Finding the Third Proportional to 10.71 and 11.98

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Solution

The third proportional to 10.71 and 11.98 is: 13.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.71 : 11.98 = 11.98 : x
  2. Step 2: Convert to fraction form
    10.71/11.98 = 11.98/x
  3. Step 3: Cross multiply
    10.71x = 11.98 × 11.98
  4. Step 4: Simplify right side
    10.71x = 143.48
  5. Step 5: Solve for x
    x = 143.48/10.71
  6. Step 6: Final answer
    x = 13.40

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.