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Finding the Third Proportional to 27,728.75 and 39,234.75

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Solution

The third proportional to 27,728.75 and 39,234.75 is: 55,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,728.75 : 39,234.75 = 39,234.75 : x
  2. Step 2: Convert to fraction form
    27,728.75/39,234.75 = 39,234.75/x
  3. Step 3: Cross multiply
    27,728.75x = 39,234.75 × 39,234.75
  4. Step 4: Simplify right side
    27,728.75x = 1,539,365,607.56
  5. Step 5: Solve for x
    x = 1,539,365,607.56/27,728.75
  6. Step 6: Final answer
    x = 55,515.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.