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Finding the Third Proportional to 22,286.25 and 34,619.63

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Solution

The third proportional to 22,286.25 and 34,619.63 is: 53,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286.25 : 34,619.63 = 34,619.63 : x
  2. Step 2: Convert to fraction form
    22,286.25/34,619.63 = 34,619.63/x
  3. Step 3: Cross multiply
    22,286.25x = 34,619.63 × 34,619.63
  4. Step 4: Simplify right side
    22,286.25x = 1,198,518,435.14
  5. Step 5: Solve for x
    x = 1,198,518,435.14/22,286.25
  6. Step 6: Final answer
    x = 53,778.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.