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Finding the Third Proportional to 36,930.52 and 80,544.80

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Solution

The third proportional to 36,930.52 and 80,544.80 is: 175,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,930.52 : 80,544.80 = 80,544.80 : x
  2. Step 2: Convert to fraction form
    36,930.52/80,544.80 = 80,544.80/x
  3. Step 3: Cross multiply
    36,930.52x = 80,544.80 × 80,544.80
  4. Step 4: Simplify right side
    36,930.52x = 6,487,464,303.64
  5. Step 5: Solve for x
    x = 6,487,464,303.64/36,930.52
  6. Step 6: Final answer
    x = 175,666.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.