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Finding the Third Proportional to 2,769.75 and 6,024.38

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Solution

The third proportional to 2,769.75 and 6,024.38 is: 13,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.75 : 6,024.38 = 6,024.38 : x
  2. Step 2: Convert to fraction form
    2,769.75/6,024.38 = 6,024.38/x
  3. Step 3: Cross multiply
    2,769.75x = 6,024.38 × 6,024.38
  4. Step 4: Simplify right side
    2,769.75x = 36,293,094.14
  5. Step 5: Solve for x
    x = 36,293,094.14/2,769.75
  6. Step 6: Final answer
    x = 13,103.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.