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Finding the Third Proportional to 8,228.25 and 18,248.63

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Solution

The third proportional to 8,228.25 and 18,248.63 is: 40,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.25 : 18,248.63 = 18,248.63 : x
  2. Step 2: Convert to fraction form
    8,228.25/18,248.63 = 18,248.63/x
  3. Step 3: Cross multiply
    8,228.25x = 18,248.63 × 18,248.63
  4. Step 4: Simplify right side
    8,228.25x = 333,012,314.39
  5. Step 5: Solve for x
    x = 333,012,314.39/8,228.25
  6. Step 6: Final answer
    x = 40,471.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.