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Finding the Third Proportional to 7,971 and 14,094

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Solution

The third proportional to 7,971 and 14,094 is: 24,920.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971 : 14,094 = 14,094 : x
  2. Step 2: Convert to fraction form
    7,971/14,094 = 14,094/x
  3. Step 3: Cross multiply
    7,971x = 14,094 × 14,094
  4. Step 4: Simplify right side
    7,971x = 198,640,836
  5. Step 5: Solve for x
    x = 198,640,836/7,971
  6. Step 6: Final answer
    x = 24,920.44

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.