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Finding the Third Proportional to 7,876 and 10,509

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Solution

The third proportional to 7,876 and 10,509 is: 14,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876 : 10,509 = 10,509 : x
  2. Step 2: Convert to fraction form
    7,876/10,509 = 10,509/x
  3. Step 3: Cross multiply
    7,876x = 10,509 × 10,509
  4. Step 4: Simplify right side
    7,876x = 110,439,081
  5. Step 5: Solve for x
    x = 110,439,081/7,876
  6. Step 6: Final answer
    x = 14,022.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.