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Finding the Third Proportional to 20,128.38 and 43,716.13

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Solution

The third proportional to 20,128.38 and 43,716.13 is: 94,945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,128.38 : 43,716.13 = 43,716.13 : x
  2. Step 2: Convert to fraction form
    20,128.38/43,716.13 = 43,716.13/x
  3. Step 3: Cross multiply
    20,128.38x = 43,716.13 × 43,716.13
  4. Step 4: Simplify right side
    20,128.38x = 1,911,099,585.02
  5. Step 5: Solve for x
    x = 1,911,099,585.02/20,128.38
  6. Step 6: Final answer
    x = 94,945.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.