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Finding the Third Proportional to 8,723 and 20,228

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Solution

The third proportional to 8,723 and 20,228 is: 46,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723 : 20,228 = 20,228 : x
  2. Step 2: Convert to fraction form
    8,723/20,228 = 20,228/x
  3. Step 3: Cross multiply
    8,723x = 20,228 × 20,228
  4. Step 4: Simplify right side
    8,723x = 409,171,984
  5. Step 5: Solve for x
    x = 409,171,984/8,723
  6. Step 6: Final answer
    x = 46,907.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.