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Finding the Third Proportional to 7,916 and 14,077

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Solution

The third proportional to 7,916 and 14,077 is: 25,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916 : 14,077 = 14,077 : x
  2. Step 2: Convert to fraction form
    7,916/14,077 = 14,077/x
  3. Step 3: Cross multiply
    7,916x = 14,077 × 14,077
  4. Step 4: Simplify right side
    7,916x = 198,161,929
  5. Step 5: Solve for x
    x = 198,161,929/7,916
  6. Step 6: Final answer
    x = 25,033.09

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.