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Finding the Third Proportional to 20,896 and 45,744

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Solution

The third proportional to 20,896 and 45,744 is: 100,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896 : 45,744 = 45,744 : x
  2. Step 2: Convert to fraction form
    20,896/45,744 = 45,744/x
  3. Step 3: Cross multiply
    20,896x = 45,744 × 45,744
  4. Step 4: Simplify right side
    20,896x = 2,092,513,536
  5. Step 5: Solve for x
    x = 2,092,513,536/20,896
  6. Step 6: Final answer
    x = 100,139.43

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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.