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Finding the Third Proportional to 2,695.19 and 5,800.06

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Solution

The third proportional to 2,695.19 and 5,800.06 is: 12,481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.19 : 5,800.06 = 5,800.06 : x
  2. Step 2: Convert to fraction form
    2,695.19/5,800.06 = 5,800.06/x
  3. Step 3: Cross multiply
    2,695.19x = 5,800.06 × 5,800.06
  4. Step 4: Simplify right side
    2,695.19x = 33,640,725.00
  5. Step 5: Solve for x
    x = 33,640,725.00/2,695.19
  6. Step 6: Final answer
    x = 12,481.78

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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.