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Finding the Third Proportional to 20,844.84 and 45,640.97

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Solution

The third proportional to 20,844.84 and 45,640.97 is: 99,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,844.84 : 45,640.97 = 45,640.97 : x
  2. Step 2: Convert to fraction form
    20,844.84/45,640.97 = 45,640.97/x
  3. Step 3: Cross multiply
    20,844.84x = 45,640.97 × 45,640.97
  4. Step 4: Simplify right side
    20,844.84x = 2,083,098,028.44
  5. Step 5: Solve for x
    x = 2,083,098,028.44/20,844.84
  6. Step 6: Final answer
    x = 99,933.49

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Why These Related Problems?

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