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Finding the Third Proportional to 31,283.72 and 48,480.61

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Solution

The third proportional to 31,283.72 and 48,480.61 is: 75,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,283.72 : 48,480.61 = 48,480.61 : x
  2. Step 2: Convert to fraction form
    31,283.72/48,480.61 = 48,480.61/x
  3. Step 3: Cross multiply
    31,283.72x = 48,480.61 × 48,480.61
  4. Step 4: Simplify right side
    31,283.72x = 2,350,369,485.37
  5. Step 5: Solve for x
    x = 2,350,369,485.37/31,283.72
  6. Step 6: Final answer
    x = 75,130.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.