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Finding the Third Proportional to 31,701.50 and 49,062

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Solution

The third proportional to 31,701.50 and 49,062 is: 75,929.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,701.50 : 49,062 = 49,062 : x
  2. Step 2: Convert to fraction form
    31,701.50/49,062 = 49,062/x
  3. Step 3: Cross multiply
    31,701.50x = 49,062 × 49,062
  4. Step 4: Simplify right side
    31,701.50x = 2,407,079,844
  5. Step 5: Solve for x
    x = 2,407,079,844/31,701.50
  6. Step 6: Final answer
    x = 75,929.53

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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.