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Finding the Third Proportional to 2,939.25 and 6,288.56

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Solution

The third proportional to 2,939.25 and 6,288.56 is: 13,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.25 : 6,288.56 = 6,288.56 : x
  2. Step 2: Convert to fraction form
    2,939.25/6,288.56 = 6,288.56/x
  3. Step 3: Cross multiply
    2,939.25x = 6,288.56 × 6,288.56
  4. Step 4: Simplify right side
    2,939.25x = 39,546,018.32
  5. Step 5: Solve for x
    x = 39,546,018.32/2,939.25
  6. Step 6: Final answer
    x = 13,454.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.