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Finding the Third Proportional to 3,111 and 7,269

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Solution

The third proportional to 3,111 and 7,269 is: 16,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111 : 7,269 = 7,269 : x
  2. Step 2: Convert to fraction form
    3,111/7,269 = 7,269/x
  3. Step 3: Cross multiply
    3,111x = 7,269 × 7,269
  4. Step 4: Simplify right side
    3,111x = 52,838,361
  5. Step 5: Solve for x
    x = 52,838,361/3,111
  6. Step 6: Final answer
    x = 16,984.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.