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Finding the Third Proportional to 18,000.75 and 28,234.50

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Solution

The third proportional to 18,000.75 and 28,234.50 is: 44,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,000.75 : 28,234.50 = 28,234.50 : x
  2. Step 2: Convert to fraction form
    18,000.75/28,234.50 = 28,234.50/x
  3. Step 3: Cross multiply
    18,000.75x = 28,234.50 × 28,234.50
  4. Step 4: Simplify right side
    18,000.75x = 797,186,990.25
  5. Step 5: Solve for x
    x = 797,186,990.25/18,000.75
  6. Step 6: Final answer
    x = 44,286.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.