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Finding the Third Proportional to 10,079 and 11,135

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Solution

The third proportional to 10,079 and 11,135 is: 12,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079 : 11,135 = 11,135 : x
  2. Step 2: Convert to fraction form
    10,079/11,135 = 11,135/x
  3. Step 3: Cross multiply
    10,079x = 11,135 × 11,135
  4. Step 4: Simplify right side
    10,079x = 123,988,225
  5. Step 5: Solve for x
    x = 123,988,225/10,079
  6. Step 6: Final answer
    x = 12,301.64

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.