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Finding the Third Proportional to 10.06 and 11.51

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Solution

The third proportional to 10.06 and 11.51 is: 13.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.06 : 11.51 = 11.51 : x
  2. Step 2: Convert to fraction form
    10.06/11.51 = 11.51/x
  3. Step 3: Cross multiply
    10.06x = 11.51 × 11.51
  4. Step 4: Simplify right side
    10.06x = 132.55
  5. Step 5: Solve for x
    x = 132.55/10.06
  6. Step 6: Final answer
    x = 13.17

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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.