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Finding the Third Proportional to 36,000.75 and 49,439.25

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Solution

The third proportional to 36,000.75 and 49,439.25 is: 67,894.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000.75 : 49,439.25 = 49,439.25 : x
  2. Step 2: Convert to fraction form
    36,000.75/49,439.25 = 49,439.25/x
  3. Step 3: Cross multiply
    36,000.75x = 49,439.25 × 49,439.25
  4. Step 4: Simplify right side
    36,000.75x = 2,444,239,440.56
  5. Step 5: Solve for x
    x = 2,444,239,440.56/36,000.75
  6. Step 6: Final answer
    x = 67,894.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.