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Finding the Third Proportional to 39,574.41 and 83,249.44

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Solution

The third proportional to 39,574.41 and 83,249.44 is: 175,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,574.41 : 83,249.44 = 83,249.44 : x
  2. Step 2: Convert to fraction form
    39,574.41/83,249.44 = 83,249.44/x
  3. Step 3: Cross multiply
    39,574.41x = 83,249.44 × 83,249.44
  4. Step 4: Simplify right side
    39,574.41x = 6,930,468,844.07
  5. Step 5: Solve for x
    x = 6,930,468,844.07/39,574.41
  6. Step 6: Final answer
    x = 175,125.02

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.