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Finding the Third Proportional to 2,803.78 and 5,572.97

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Solution

The third proportional to 2,803.78 and 5,572.97 is: 11,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.78 : 5,572.97 = 5,572.97 : x
  2. Step 2: Convert to fraction form
    2,803.78/5,572.97 = 5,572.97/x
  3. Step 3: Cross multiply
    2,803.78x = 5,572.97 × 5,572.97
  4. Step 4: Simplify right side
    2,803.78x = 31,057,980.69
  5. Step 5: Solve for x
    x = 31,057,980.69/2,803.78
  6. Step 6: Final answer
    x = 11,077.18

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.