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Finding the Third Proportional to 13,027 and 20,159

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Solution

The third proportional to 13,027 and 20,159 is: 31,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027 : 20,159 = 20,159 : x
  2. Step 2: Convert to fraction form
    13,027/20,159 = 20,159/x
  3. Step 3: Cross multiply
    13,027x = 20,159 × 20,159
  4. Step 4: Simplify right side
    13,027x = 406,385,281
  5. Step 5: Solve for x
    x = 406,385,281/13,027
  6. Step 6: Final answer
    x = 31,195.62

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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.