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Finding the Third Proportional to 8,146 and 11,016

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Solution

The third proportional to 8,146 and 11,016 is: 14,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146 : 11,016 = 11,016 : x
  2. Step 2: Convert to fraction form
    8,146/11,016 = 11,016/x
  3. Step 3: Cross multiply
    8,146x = 11,016 × 11,016
  4. Step 4: Simplify right side
    8,146x = 121,352,256
  5. Step 5: Solve for x
    x = 121,352,256/8,146
  6. Step 6: Final answer
    x = 14,897.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.