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Finding the Third Proportional to 22,375.13 and 48,178.69

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Solution

The third proportional to 22,375.13 and 48,178.69 is: 103,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,375.13 : 48,178.69 = 48,178.69 : x
  2. Step 2: Convert to fraction form
    22,375.13/48,178.69 = 48,178.69/x
  3. Step 3: Cross multiply
    22,375.13x = 48,178.69 × 48,178.69
  4. Step 4: Simplify right side
    22,375.13x = 2,321,185,929.22
  5. Step 5: Solve for x
    x = 2,321,185,929.22/22,375.13
  6. Step 6: Final answer
    x = 103,739.57

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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.