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Finding the Third Proportional to 31,003.50 and 48,126

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Solution

The third proportional to 31,003.50 and 48,126 is: 74,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,003.50 : 48,126 = 48,126 : x
  2. Step 2: Convert to fraction form
    31,003.50/48,126 = 48,126/x
  3. Step 3: Cross multiply
    31,003.50x = 48,126 × 48,126
  4. Step 4: Simplify right side
    31,003.50x = 2,316,111,876
  5. Step 5: Solve for x
    x = 2,316,111,876/31,003.50
  6. Step 6: Final answer
    x = 74,704.85

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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.