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Finding the Third Proportional to 22,796.44 and 47,886.19

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Solution

The third proportional to 22,796.44 and 47,886.19 is: 100,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.44 : 47,886.19 = 47,886.19 : x
  2. Step 2: Convert to fraction form
    22,796.44/47,886.19 = 47,886.19/x
  3. Step 3: Cross multiply
    22,796.44x = 47,886.19 × 47,886.19
  4. Step 4: Simplify right side
    22,796.44x = 2,293,086,953.29
  5. Step 5: Solve for x
    x = 2,293,086,953.29/22,796.44
  6. Step 6: Final answer
    x = 100,589.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.