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Finding the Third Proportional to 2,572.31 and 5,620.22

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Solution

The third proportional to 2,572.31 and 5,620.22 is: 12,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.31 : 5,620.22 = 5,620.22 : x
  2. Step 2: Convert to fraction form
    2,572.31/5,620.22 = 5,620.22/x
  3. Step 3: Cross multiply
    2,572.31x = 5,620.22 × 5,620.22
  4. Step 4: Simplify right side
    2,572.31x = 31,586,858.80
  5. Step 5: Solve for x
    x = 31,586,858.80/2,572.31
  6. Step 6: Final answer
    x = 12,279.56

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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.