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Finding the Third Proportional to 2,279.53 and 3,259.69

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Solution

The third proportional to 2,279.53 and 3,259.69 is: 4,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.53 : 3,259.69 = 3,259.69 : x
  2. Step 2: Convert to fraction form
    2,279.53/3,259.69 = 3,259.69/x
  3. Step 3: Cross multiply
    2,279.53x = 3,259.69 × 3,259.69
  4. Step 4: Simplify right side
    2,279.53x = 10,625,562.60
  5. Step 5: Solve for x
    x = 10,625,562.60/2,279.53
  6. Step 6: Final answer
    x = 4,661.29

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.