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Finding the Third Proportional to 2,159.25 and 3,240.75

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Solution

The third proportional to 2,159.25 and 3,240.75 is: 4,863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.25 : 3,240.75 = 3,240.75 : x
  2. Step 2: Convert to fraction form
    2,159.25/3,240.75 = 3,240.75/x
  3. Step 3: Cross multiply
    2,159.25x = 3,240.75 × 3,240.75
  4. Step 4: Simplify right side
    2,159.25x = 10,502,460.56
  5. Step 5: Solve for x
    x = 10,502,460.56/2,159.25
  6. Step 6: Final answer
    x = 4,863.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.