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Finding the Third Proportional to 2,769.19 and 6,100.31

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Solution

The third proportional to 2,769.19 and 6,100.31 is: 13,438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.19 : 6,100.31 = 6,100.31 : x
  2. Step 2: Convert to fraction form
    2,769.19/6,100.31 = 6,100.31/x
  3. Step 3: Cross multiply
    2,769.19x = 6,100.31 × 6,100.31
  4. Step 4: Simplify right side
    2,769.19x = 37,213,812.60
  5. Step 5: Solve for x
    x = 37,213,812.60/2,769.19
  6. Step 6: Final answer
    x = 13,438.53

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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.