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Finding the Third Proportional to 2,782.69 and 6,112.13

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Solution

The third proportional to 2,782.69 and 6,112.13 is: 13,425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.69 : 6,112.13 = 6,112.13 : x
  2. Step 2: Convert to fraction form
    2,782.69/6,112.13 = 6,112.13/x
  3. Step 3: Cross multiply
    2,782.69x = 6,112.13 × 6,112.13
  4. Step 4: Simplify right side
    2,782.69x = 37,358,072.02
  5. Step 5: Solve for x
    x = 37,358,072.02/2,782.69
  6. Step 6: Final answer
    x = 13,425.18

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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.