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Finding the Third Proportional to 39,803.91 and 85,834.69

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Solution

The third proportional to 39,803.91 and 85,834.69 is: 185,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,803.91 : 85,834.69 = 85,834.69 : x
  2. Step 2: Convert to fraction form
    39,803.91/85,834.69 = 85,834.69/x
  3. Step 3: Cross multiply
    39,803.91x = 85,834.69 × 85,834.69
  4. Step 4: Simplify right side
    39,803.91x = 7,367,593,578.22
  5. Step 5: Solve for x
    x = 7,367,593,578.22/39,803.91
  6. Step 6: Final answer
    x = 185,097.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.