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Finding the Third Proportional to 22,257.28 and 46,997.72

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Solution

The third proportional to 22,257.28 and 46,997.72 is: 99,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,257.28 : 46,997.72 = 46,997.72 : x
  2. Step 2: Convert to fraction form
    22,257.28/46,997.72 = 46,997.72/x
  3. Step 3: Cross multiply
    22,257.28x = 46,997.72 × 46,997.72
  4. Step 4: Simplify right side
    22,257.28x = 2,208,785,567.70
  5. Step 5: Solve for x
    x = 2,208,785,567.70/22,257.28
  6. Step 6: Final answer
    x = 99,238.79

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.