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Finding the Third Proportional to 8,438 and 13,114

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Solution

The third proportional to 8,438 and 13,114 is: 20,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438 : 13,114 = 13,114 : x
  2. Step 2: Convert to fraction form
    8,438/13,114 = 13,114/x
  3. Step 3: Cross multiply
    8,438x = 13,114 × 13,114
  4. Step 4: Simplify right side
    8,438x = 171,976,996
  5. Step 5: Solve for x
    x = 171,976,996/8,438
  6. Step 6: Final answer
    x = 20,381.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.