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Finding the Third Proportional to 10,040 and 11,864

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Solution

The third proportional to 10,040 and 11,864 is: 14,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040 : 11,864 = 11,864 : x
  2. Step 2: Convert to fraction form
    10,040/11,864 = 11,864/x
  3. Step 3: Cross multiply
    10,040x = 11,864 × 11,864
  4. Step 4: Simplify right side
    10,040x = 140,754,496
  5. Step 5: Solve for x
    x = 140,754,496/10,040
  6. Step 6: Final answer
    x = 14,019.37

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.