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Finding the Third Proportional to 20,422.13 and 43,876.69

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Solution

The third proportional to 20,422.13 and 43,876.69 is: 94,268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422.13 : 43,876.69 = 43,876.69 : x
  2. Step 2: Convert to fraction form
    20,422.13/43,876.69 = 43,876.69/x
  3. Step 3: Cross multiply
    20,422.13x = 43,876.69 × 43,876.69
  4. Step 4: Simplify right side
    20,422.13x = 1,925,163,705.97
  5. Step 5: Solve for x
    x = 1,925,163,705.97/20,422.13
  6. Step 6: Final answer
    x = 94,268.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.