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Finding the Third Proportional to 3,510 and 7,727

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Solution

The third proportional to 3,510 and 7,727 is: 17,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510 : 7,727 = 7,727 : x
  2. Step 2: Convert to fraction form
    3,510/7,727 = 7,727/x
  3. Step 3: Cross multiply
    3,510x = 7,727 × 7,727
  4. Step 4: Simplify right side
    3,510x = 59,706,529
  5. Step 5: Solve for x
    x = 59,706,529/3,510
  6. Step 6: Final answer
    x = 17,010.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.