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Finding the Third Proportional to 14,044.50 and 30,879

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Solution

The third proportional to 14,044.50 and 30,879 is: 67,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044.50 : 30,879 = 30,879 : x
  2. Step 2: Convert to fraction form
    14,044.50/30,879 = 30,879/x
  3. Step 3: Cross multiply
    14,044.50x = 30,879 × 30,879
  4. Step 4: Simplify right side
    14,044.50x = 953,512,641
  5. Step 5: Solve for x
    x = 953,512,641/14,044.50
  6. Step 6: Final answer
    x = 67,892.25

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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.