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Finding the Third Proportional to 36,046.50 and 52,626.75

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Solution

The third proportional to 36,046.50 and 52,626.75 is: 76,833.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,046.50 : 52,626.75 = 52,626.75 : x
  2. Step 2: Convert to fraction form
    36,046.50/52,626.75 = 52,626.75/x
  3. Step 3: Cross multiply
    36,046.50x = 52,626.75 × 52,626.75
  4. Step 4: Simplify right side
    36,046.50x = 2,769,574,815.56
  5. Step 5: Solve for x
    x = 2,769,574,815.56/36,046.50
  6. Step 6: Final answer
    x = 76,833.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.