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Finding the Third Proportional to 39,651.19 and 85,836.38

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Solution

The third proportional to 39,651.19 and 85,836.38 is: 185,817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,651.19 : 85,836.38 = 85,836.38 : x
  2. Step 2: Convert to fraction form
    39,651.19/85,836.38 = 85,836.38/x
  3. Step 3: Cross multiply
    39,651.19x = 85,836.38 × 85,836.38
  4. Step 4: Simplify right side
    39,651.19x = 7,367,883,273.14
  5. Step 5: Solve for x
    x = 7,367,883,273.14/39,651.19
  6. Step 6: Final answer
    x = 185,817.47

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Why These Related Problems?

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