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Finding the Third Proportional to 2,644.23 and 5,807.47

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Solution

The third proportional to 2,644.23 and 5,807.47 is: 12,754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.23 : 5,807.47 = 5,807.47 : x
  2. Step 2: Convert to fraction form
    2,644.23/5,807.47 = 5,807.47/x
  3. Step 3: Cross multiply
    2,644.23x = 5,807.47 × 5,807.47
  4. Step 4: Simplify right side
    2,644.23x = 33,726,691.86
  5. Step 5: Solve for x
    x = 33,726,691.86/2,644.23
  6. Step 6: Final answer
    x = 12,754.84

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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.