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Finding the Third Proportional to 2,769.28 and 4,110.47

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Solution

The third proportional to 2,769.28 and 4,110.47 is: 6,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.28 : 4,110.47 = 4,110.47 : x
  2. Step 2: Convert to fraction form
    2,769.28/4,110.47 = 4,110.47/x
  3. Step 3: Cross multiply
    2,769.28x = 4,110.47 × 4,110.47
  4. Step 4: Simplify right side
    2,769.28x = 16,895,953.34
  5. Step 5: Solve for x
    x = 16,895,953.34/2,769.28
  6. Step 6: Final answer
    x = 6,101.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.