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Finding the Third Proportional to 22,177.97 and 47,873.44

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Solution

The third proportional to 22,177.97 and 47,873.44 is: 103,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,177.97 : 47,873.44 = 47,873.44 : x
  2. Step 2: Convert to fraction form
    22,177.97/47,873.44 = 47,873.44/x
  3. Step 3: Cross multiply
    22,177.97x = 47,873.44 × 47,873.44
  4. Step 4: Simplify right side
    22,177.97x = 2,291,866,018.07
  5. Step 5: Solve for x
    x = 2,291,866,018.07/22,177.97
  6. Step 6: Final answer
    x = 103,339.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.