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Finding the Third Proportional to 36,439.88 and 75,674.25

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Solution

The third proportional to 36,439.88 and 75,674.25 is: 157,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,439.88 : 75,674.25 = 75,674.25 : x
  2. Step 2: Convert to fraction form
    36,439.88/75,674.25 = 75,674.25/x
  3. Step 3: Cross multiply
    36,439.88x = 75,674.25 × 75,674.25
  4. Step 4: Simplify right side
    36,439.88x = 5,726,592,113.06
  5. Step 5: Solve for x
    x = 5,726,592,113.06/36,439.88
  6. Step 6: Final answer
    x = 157,151.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.