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Finding the Third Proportional to 7,814 and 13,896

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Solution

The third proportional to 7,814 and 13,896 is: 24,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814 : 13,896 = 13,896 : x
  2. Step 2: Convert to fraction form
    7,814/13,896 = 13,896/x
  3. Step 3: Cross multiply
    7,814x = 13,896 × 13,896
  4. Step 4: Simplify right side
    7,814x = 193,098,816
  5. Step 5: Solve for x
    x = 193,098,816/7,814
  6. Step 6: Final answer
    x = 24,711.90

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.