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Finding the Third Proportional to 7,927 and 17,077

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Solution

The third proportional to 7,927 and 17,077 is: 36,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927 : 17,077 = 17,077 : x
  2. Step 2: Convert to fraction form
    7,927/17,077 = 17,077/x
  3. Step 3: Cross multiply
    7,927x = 17,077 × 17,077
  4. Step 4: Simplify right side
    7,927x = 291,623,929
  5. Step 5: Solve for x
    x = 291,623,929/7,927
  6. Step 6: Final answer
    x = 36,788.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.