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Finding the Third Proportional to 42,993.94 and 61,927.31

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Solution

The third proportional to 42,993.94 and 61,927.31 is: 89,198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,993.94 : 61,927.31 = 61,927.31 : x
  2. Step 2: Convert to fraction form
    42,993.94/61,927.31 = 61,927.31/x
  3. Step 3: Cross multiply
    42,993.94x = 61,927.31 × 61,927.31
  4. Step 4: Simplify right side
    42,993.94x = 3,834,992,033.47
  5. Step 5: Solve for x
    x = 3,834,992,033.47/42,993.94
  6. Step 6: Final answer
    x = 89,198.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.