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Finding the Third Proportional to 2,600.25 and 5,578.13

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Solution

The third proportional to 2,600.25 and 5,578.13 is: 11,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.25 : 5,578.13 = 5,578.13 : x
  2. Step 2: Convert to fraction form
    2,600.25/5,578.13 = 5,578.13/x
  3. Step 3: Cross multiply
    2,600.25x = 5,578.13 × 5,578.13
  4. Step 4: Simplify right side
    2,600.25x = 31,115,478.52
  5. Step 5: Solve for x
    x = 31,115,478.52/2,600.25
  6. Step 6: Final answer
    x = 11,966.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.