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Finding the Third Proportional to 2,872.13 and 6,689.25

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Solution

The third proportional to 2,872.13 and 6,689.25 is: 15,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.13 : 6,689.25 = 6,689.25 : x
  2. Step 2: Convert to fraction form
    2,872.13/6,689.25 = 6,689.25/x
  3. Step 3: Cross multiply
    2,872.13x = 6,689.25 × 6,689.25
  4. Step 4: Simplify right side
    2,872.13x = 44,746,065.56
  5. Step 5: Solve for x
    x = 44,746,065.56/2,872.13
  6. Step 6: Final answer
    x = 15,579.43

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.