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Finding the Third Proportional to 13,163 and 17,077

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Solution

The third proportional to 13,163 and 17,077 is: 22,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163 : 17,077 = 17,077 : x
  2. Step 2: Convert to fraction form
    13,163/17,077 = 17,077/x
  3. Step 3: Cross multiply
    13,163x = 17,077 × 17,077
  4. Step 4: Simplify right side
    13,163x = 291,623,929
  5. Step 5: Solve for x
    x = 291,623,929/13,163
  6. Step 6: Final answer
    x = 22,154.82

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.