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Finding the Third Proportional to 22,321 and 30,314.75

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Solution

The third proportional to 22,321 and 30,314.75 is: 41,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,321 : 30,314.75 = 30,314.75 : x
  2. Step 2: Convert to fraction form
    22,321/30,314.75 = 30,314.75/x
  3. Step 3: Cross multiply
    22,321x = 30,314.75 × 30,314.75
  4. Step 4: Simplify right side
    22,321x = 918,984,067.56
  5. Step 5: Solve for x
    x = 918,984,067.56/22,321
  6. Step 6: Final answer
    x = 41,171.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.