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Finding the Third Proportional to 31,988 and 50,068

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Solution

The third proportional to 31,988 and 50,068 is: 78,367.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,988 : 50,068 = 50,068 : x
  2. Step 2: Convert to fraction form
    31,988/50,068 = 50,068/x
  3. Step 3: Cross multiply
    31,988x = 50,068 × 50,068
  4. Step 4: Simplify right side
    31,988x = 2,506,804,624
  5. Step 5: Solve for x
    x = 2,506,804,624/31,988
  6. Step 6: Final answer
    x = 78,367.03

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.