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Finding the Third Proportional to 2,787.75 and 6,832.69

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Solution

The third proportional to 2,787.75 and 6,832.69 is: 16,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.75 : 6,832.69 = 6,832.69 : x
  2. Step 2: Convert to fraction form
    2,787.75/6,832.69 = 6,832.69/x
  3. Step 3: Cross multiply
    2,787.75x = 6,832.69 × 6,832.69
  4. Step 4: Simplify right side
    2,787.75x = 46,685,618.47
  5. Step 5: Solve for x
    x = 46,685,618.47/2,787.75
  6. Step 6: Final answer
    x = 16,746.70

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.