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Finding the Third Proportional to 2,865.38 and 6,161.91

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Solution

The third proportional to 2,865.38 and 6,161.91 is: 13,251.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.38 : 6,161.91 = 6,161.91 : x
  2. Step 2: Convert to fraction form
    2,865.38/6,161.91 = 6,161.91/x
  3. Step 3: Cross multiply
    2,865.38x = 6,161.91 × 6,161.91
  4. Step 4: Simplify right side
    2,865.38x = 37,969,088.63
  5. Step 5: Solve for x
    x = 37,969,088.63/2,865.38
  6. Step 6: Final answer
    x = 13,251.00

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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.