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Finding the Third Proportional to 22,822.25 and 49,497.25

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Solution

The third proportional to 22,822.25 and 49,497.25 is: 107,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822.25 : 49,497.25 = 49,497.25 : x
  2. Step 2: Convert to fraction form
    22,822.25/49,497.25 = 49,497.25/x
  3. Step 3: Cross multiply
    22,822.25x = 49,497.25 × 49,497.25
  4. Step 4: Simplify right side
    22,822.25x = 2,449,977,757.56
  5. Step 5: Solve for x
    x = 2,449,977,757.56/22,822.25
  6. Step 6: Final answer
    x = 107,350.40

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Why These Related Problems?

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