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Finding the Third Proportional to 2,589.89 and 3,983.13

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Solution

The third proportional to 2,589.89 and 3,983.13 is: 6,125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.89 : 3,983.13 = 3,983.13 : x
  2. Step 2: Convert to fraction form
    2,589.89/3,983.13 = 3,983.13/x
  3. Step 3: Cross multiply
    2,589.89x = 3,983.13 × 3,983.13
  4. Step 4: Simplify right side
    2,589.89x = 15,865,347.00
  5. Step 5: Solve for x
    x = 15,865,347.00/2,589.89
  6. Step 6: Final answer
    x = 6,125.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.