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Finding the Third Proportional to 6,702 and 13,566

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Solution

The third proportional to 6,702 and 13,566 is: 27,459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702 : 13,566 = 13,566 : x
  2. Step 2: Convert to fraction form
    6,702/13,566 = 13,566/x
  3. Step 3: Cross multiply
    6,702x = 13,566 × 13,566
  4. Step 4: Simplify right side
    6,702x = 184,036,356
  5. Step 5: Solve for x
    x = 184,036,356/6,702
  6. Step 6: Final answer
    x = 27,459.92

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.