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Finding the Third Proportional to 5,986 and 12,942

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Solution

The third proportional to 5,986 and 12,942 is: 27,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986 : 12,942 = 12,942 : x
  2. Step 2: Convert to fraction form
    5,986/12,942 = 12,942/x
  3. Step 3: Cross multiply
    5,986x = 12,942 × 12,942
  4. Step 4: Simplify right side
    5,986x = 167,495,364
  5. Step 5: Solve for x
    x = 167,495,364/5,986
  6. Step 6: Final answer
    x = 27,981.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.