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Finding the Third Proportional to 18,228 and 23,292.75

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Solution

The third proportional to 18,228 and 23,292.75 is: 29,764.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,228 : 23,292.75 = 23,292.75 : x
  2. Step 2: Convert to fraction form
    18,228/23,292.75 = 23,292.75/x
  3. Step 3: Cross multiply
    18,228x = 23,292.75 × 23,292.75
  4. Step 4: Simplify right side
    18,228x = 542,552,202.56
  5. Step 5: Solve for x
    x = 542,552,202.56/18,228
  6. Step 6: Final answer
    x = 29,764.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.