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Finding the Third Proportional to 20,122.75 and 43,716.38

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Solution

The third proportional to 20,122.75 and 43,716.38 is: 94,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.75 : 43,716.38 = 43,716.38 : x
  2. Step 2: Convert to fraction form
    20,122.75/43,716.38 = 43,716.38/x
  3. Step 3: Cross multiply
    20,122.75x = 43,716.38 × 43,716.38
  4. Step 4: Simplify right side
    20,122.75x = 1,911,121,443.14
  5. Step 5: Solve for x
    x = 1,911,121,443.14/20,122.75
  6. Step 6: Final answer
    x = 94,973.17

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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.