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Finding the Third Proportional to 2,767.50 and 6,184.69

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Solution

The third proportional to 2,767.50 and 6,184.69 is: 13,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.50 : 6,184.69 = 6,184.69 : x
  2. Step 2: Convert to fraction form
    2,767.50/6,184.69 = 6,184.69/x
  3. Step 3: Cross multiply
    2,767.50x = 6,184.69 × 6,184.69
  4. Step 4: Simplify right side
    2,767.50x = 38,250,359.47
  5. Step 5: Solve for x
    x = 38,250,359.47/2,767.50
  6. Step 6: Final answer
    x = 13,821.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.