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Finding the Third Proportional to 22,374.56 and 48,743.44

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Solution

The third proportional to 22,374.56 and 48,743.44 is: 106,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,374.56 : 48,743.44 = 48,743.44 : x
  2. Step 2: Convert to fraction form
    22,374.56/48,743.44 = 48,743.44/x
  3. Step 3: Cross multiply
    22,374.56x = 48,743.44 × 48,743.44
  4. Step 4: Simplify right side
    22,374.56x = 2,375,922,699.32
  5. Step 5: Solve for x
    x = 2,375,922,699.32/22,374.56
  6. Step 6: Final answer
    x = 106,188.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.