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Finding the Third Proportional to 31,907.25 and 67,849.31

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Solution

The third proportional to 31,907.25 and 67,849.31 is: 144,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.25 : 67,849.31 = 67,849.31 : x
  2. Step 2: Convert to fraction form
    31,907.25/67,849.31 = 67,849.31/x
  3. Step 3: Cross multiply
    31,907.25x = 67,849.31 × 67,849.31
  4. Step 4: Simplify right side
    31,907.25x = 4,603,529,206.72
  5. Step 5: Solve for x
    x = 4,603,529,206.72/31,907.25
  6. Step 6: Final answer
    x = 144,278.47

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.