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Finding the Third Proportional to 2,805 and 5,905.88

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Solution

The third proportional to 2,805 and 5,905.88 is: 12,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805 : 5,905.88 = 5,905.88 : x
  2. Step 2: Convert to fraction form
    2,805/5,905.88 = 5,905.88/x
  3. Step 3: Cross multiply
    2,805x = 5,905.88 × 5,905.88
  4. Step 4: Simplify right side
    2,805x = 34,879,359.52
  5. Step 5: Solve for x
    x = 34,879,359.52/2,805
  6. Step 6: Final answer
    x = 12,434.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.