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Finding the Third Proportional to 14,107.50 and 27,540

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Solution

The third proportional to 14,107.50 and 27,540 is: 53,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.50 : 27,540 = 27,540 : x
  2. Step 2: Convert to fraction form
    14,107.50/27,540 = 27,540/x
  3. Step 3: Cross multiply
    14,107.50x = 27,540 × 27,540
  4. Step 4: Simplify right side
    14,107.50x = 758,451,600
  5. Step 5: Solve for x
    x = 758,451,600/14,107.50
  6. Step 6: Final answer
    x = 53,762.30

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.