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Finding the Third Proportional to 22,074.75 and 47,887.25

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Solution

The third proportional to 22,074.75 and 47,887.25 is: 103,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,074.75 : 47,887.25 = 47,887.25 : x
  2. Step 2: Convert to fraction form
    22,074.75/47,887.25 = 47,887.25/x
  3. Step 3: Cross multiply
    22,074.75x = 47,887.25 × 47,887.25
  4. Step 4: Simplify right side
    22,074.75x = 2,293,188,712.56
  5. Step 5: Solve for x
    x = 2,293,188,712.56/22,074.75
  6. Step 6: Final answer
    x = 103,882.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.