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Finding the Third Proportional to 13,854.80 and 28,694.88

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Solution

The third proportional to 13,854.80 and 28,694.88 is: 59,430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.80 : 28,694.88 = 28,694.88 : x
  2. Step 2: Convert to fraction form
    13,854.80/28,694.88 = 28,694.88/x
  3. Step 3: Cross multiply
    13,854.80x = 28,694.88 × 28,694.88
  4. Step 4: Simplify right side
    13,854.80x = 823,396,299.62
  5. Step 5: Solve for x
    x = 823,396,299.62/13,854.80
  6. Step 6: Final answer
    x = 59,430.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.