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Finding the Third Proportional to 18,000.38 and 27,004.50

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Solution

The third proportional to 18,000.38 and 27,004.50 is: 40,512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,000.38 : 27,004.50 = 27,004.50 : x
  2. Step 2: Convert to fraction form
    18,000.38/27,004.50 = 27,004.50/x
  3. Step 3: Cross multiply
    18,000.38x = 27,004.50 × 27,004.50
  4. Step 4: Simplify right side
    18,000.38x = 729,243,020.25
  5. Step 5: Solve for x
    x = 729,243,020.25/18,000.38
  6. Step 6: Final answer
    x = 40,512.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.