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Finding the Third Proportional to 37,468.83 and 80,496.28

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Solution

The third proportional to 37,468.83 and 80,496.28 is: 172,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,468.83 : 80,496.28 = 80,496.28 : x
  2. Step 2: Convert to fraction form
    37,468.83/80,496.28 = 80,496.28/x
  3. Step 3: Cross multiply
    37,468.83x = 80,496.28 × 80,496.28
  4. Step 4: Simplify right side
    37,468.83x = 6,479,651,295.08
  5. Step 5: Solve for x
    x = 6,479,651,295.08/37,468.83
  6. Step 6: Final answer
    x = 172,934.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.