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Finding the Third Proportional to 27,211.50 and 36,222.75

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Solution

The third proportional to 27,211.50 and 36,222.75 is: 48,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,211.50 : 36,222.75 = 36,222.75 : x
  2. Step 2: Convert to fraction form
    27,211.50/36,222.75 = 36,222.75/x
  3. Step 3: Cross multiply
    27,211.50x = 36,222.75 × 36,222.75
  4. Step 4: Simplify right side
    27,211.50x = 1,312,087,617.56
  5. Step 5: Solve for x
    x = 1,312,087,617.56/27,211.50
  6. Step 6: Final answer
    x = 48,218.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.