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Finding the Third Proportional to 31,223.53 and 68,674.92

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Solution

The third proportional to 31,223.53 and 68,674.92 is: 151,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,223.53 : 68,674.92 = 68,674.92 : x
  2. Step 2: Convert to fraction form
    31,223.53/68,674.92 = 68,674.92/x
  3. Step 3: Cross multiply
    31,223.53x = 68,674.92 × 68,674.92
  4. Step 4: Simplify right side
    31,223.53x = 4,716,244,894.54
  5. Step 5: Solve for x
    x = 4,716,244,894.54/31,223.53
  6. Step 6: Final answer
    x = 151,047.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.