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Finding the Third Proportional to 2,846.65 and 6,253.77

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Solution

The third proportional to 2,846.65 and 6,253.77 is: 13,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.65 : 6,253.77 = 6,253.77 : x
  2. Step 2: Convert to fraction form
    2,846.65/6,253.77 = 6,253.77/x
  3. Step 3: Cross multiply
    2,846.65x = 6,253.77 × 6,253.77
  4. Step 4: Simplify right side
    2,846.65x = 39,109,633.35
  5. Step 5: Solve for x
    x = 39,109,633.35/2,846.65
  6. Step 6: Final answer
    x = 13,738.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.