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Finding the Third Proportional to 36,289.50 and 49,250.25

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Solution

The third proportional to 36,289.50 and 49,250.25 is: 66,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,289.50 : 49,250.25 = 49,250.25 : x
  2. Step 2: Convert to fraction form
    36,289.50/49,250.25 = 49,250.25/x
  3. Step 3: Cross multiply
    36,289.50x = 49,250.25 × 49,250.25
  4. Step 4: Simplify right side
    36,289.50x = 2,425,587,125.06
  5. Step 5: Solve for x
    x = 2,425,587,125.06/36,289.50
  6. Step 6: Final answer
    x = 66,839.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.