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Finding the Third Proportional to 2,864.74 and 6,170.87

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Solution

The third proportional to 2,864.74 and 6,170.87 is: 13,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.74 : 6,170.87 = 6,170.87 : x
  2. Step 2: Convert to fraction form
    2,864.74/6,170.87 = 6,170.87/x
  3. Step 3: Cross multiply
    2,864.74x = 6,170.87 × 6,170.87
  4. Step 4: Simplify right side
    2,864.74x = 38,079,650.06
  5. Step 5: Solve for x
    x = 38,079,650.06/2,864.74
  6. Step 6: Final answer
    x = 13,292.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.