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Finding the Third Proportional to 20,754.23 and 45,869.44

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Solution

The third proportional to 20,754.23 and 45,869.44 is: 101,377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,754.23 : 45,869.44 = 45,869.44 : x
  2. Step 2: Convert to fraction form
    20,754.23/45,869.44 = 45,869.44/x
  3. Step 3: Cross multiply
    20,754.23x = 45,869.44 × 45,869.44
  4. Step 4: Simplify right side
    20,754.23x = 2,104,005,296.57
  5. Step 5: Solve for x
    x = 2,104,005,296.57/20,754.23
  6. Step 6: Final answer
    x = 101,377.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.