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Finding the Third Proportional to 2,351.25 and 5,569.88

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Solution

The third proportional to 2,351.25 and 5,569.88 is: 13,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.25 : 5,569.88 = 5,569.88 : x
  2. Step 2: Convert to fraction form
    2,351.25/5,569.88 = 5,569.88/x
  3. Step 3: Cross multiply
    2,351.25x = 5,569.88 × 5,569.88
  4. Step 4: Simplify right side
    2,351.25x = 31,023,507.52
  5. Step 5: Solve for x
    x = 31,023,507.52/2,351.25
  6. Step 6: Final answer
    x = 13,194.47

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.