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Finding the Third Proportional to 14,061 and 30,909

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Solution

The third proportional to 14,061 and 30,909 is: 67,944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,061 : 30,909 = 30,909 : x
  2. Step 2: Convert to fraction form
    14,061/30,909 = 30,909/x
  3. Step 3: Cross multiply
    14,061x = 30,909 × 30,909
  4. Step 4: Simplify right side
    14,061x = 955,366,281
  5. Step 5: Solve for x
    x = 955,366,281/14,061
  6. Step 6: Final answer
    x = 67,944.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.