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Finding the Third Proportional to 31,840.59 and 67,474.27

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Solution

The third proportional to 31,840.59 and 67,474.27 is: 142,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,840.59 : 67,474.27 = 67,474.27 : x
  2. Step 2: Convert to fraction form
    31,840.59/67,474.27 = 67,474.27/x
  3. Step 3: Cross multiply
    31,840.59x = 67,474.27 × 67,474.27
  4. Step 4: Simplify right side
    31,840.59x = 4,552,776,521.63
  5. Step 5: Solve for x
    x = 4,552,776,521.63/31,840.59
  6. Step 6: Final answer
    x = 142,986.55

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.