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Finding the Third Proportional to 31,988 and 47,960

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Solution

The third proportional to 31,988 and 47,960 is: 71,907.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,988 : 47,960 = 47,960 : x
  2. Step 2: Convert to fraction form
    31,988/47,960 = 47,960/x
  3. Step 3: Cross multiply
    31,988x = 47,960 × 47,960
  4. Step 4: Simplify right side
    31,988x = 2,300,161,600
  5. Step 5: Solve for x
    x = 2,300,161,600/31,988
  6. Step 6: Final answer
    x = 71,907.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.