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Finding the Third Proportional to 31,900.88 and 47,121.94

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Solution

The third proportional to 31,900.88 and 47,121.94 is: 69,605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900.88 : 47,121.94 = 47,121.94 : x
  2. Step 2: Convert to fraction form
    31,900.88/47,121.94 = 47,121.94/x
  3. Step 3: Cross multiply
    31,900.88x = 47,121.94 × 47,121.94
  4. Step 4: Simplify right side
    31,900.88x = 2,220,476,993.75
  5. Step 5: Solve for x
    x = 2,220,476,993.75/31,900.88
  6. Step 6: Final answer
    x = 69,605.52

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.