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Finding the Third Proportional to 22,696.88 and 49,767.75

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Solution

The third proportional to 22,696.88 and 49,767.75 is: 109,126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.88 : 49,767.75 = 49,767.75 : x
  2. Step 2: Convert to fraction form
    22,696.88/49,767.75 = 49,767.75/x
  3. Step 3: Cross multiply
    22,696.88x = 49,767.75 × 49,767.75
  4. Step 4: Simplify right side
    22,696.88x = 2,476,828,940.06
  5. Step 5: Solve for x
    x = 2,476,828,940.06/22,696.88
  6. Step 6: Final answer
    x = 109,126.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.