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Finding the Third Proportional to 22,757.63 and 49,494.38

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Solution

The third proportional to 22,757.63 and 49,494.38 is: 107,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.63 : 49,494.38 = 49,494.38 : x
  2. Step 2: Convert to fraction form
    22,757.63/49,494.38 = 49,494.38/x
  3. Step 3: Cross multiply
    22,757.63x = 49,494.38 × 49,494.38
  4. Step 4: Simplify right side
    22,757.63x = 2,449,693,156.64
  5. Step 5: Solve for x
    x = 2,449,693,156.64/22,757.63
  6. Step 6: Final answer
    x = 107,642.74

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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.