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Finding the Third Proportional to 18,227 and 23,290.50

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Solution

The third proportional to 18,227 and 23,290.50 is: 29,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,227 : 23,290.50 = 23,290.50 : x
  2. Step 2: Convert to fraction form
    18,227/23,290.50 = 23,290.50/x
  3. Step 3: Cross multiply
    18,227x = 23,290.50 × 23,290.50
  4. Step 4: Simplify right side
    18,227x = 542,447,390.25
  5. Step 5: Solve for x
    x = 542,447,390.25/18,227
  6. Step 6: Final answer
    x = 29,760.65

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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.