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Finding the Third Proportional to 14,180 and 30,842

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Solution

The third proportional to 14,180 and 30,842 is: 67,082.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180 : 30,842 = 30,842 : x
  2. Step 2: Convert to fraction form
    14,180/30,842 = 30,842/x
  3. Step 3: Cross multiply
    14,180x = 30,842 × 30,842
  4. Step 4: Simplify right side
    14,180x = 951,228,964
  5. Step 5: Solve for x
    x = 951,228,964/14,180
  6. Step 6: Final answer
    x = 67,082.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.