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Finding the Third Proportional to 13,469 and 18,119

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Solution

The third proportional to 13,469 and 18,119 is: 24,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469 : 18,119 = 18,119 : x
  2. Step 2: Convert to fraction form
    13,469/18,119 = 18,119/x
  3. Step 3: Cross multiply
    13,469x = 18,119 × 18,119
  4. Step 4: Simplify right side
    13,469x = 328,298,161
  5. Step 5: Solve for x
    x = 328,298,161/13,469
  6. Step 6: Final answer
    x = 24,374.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.