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Finding the Third Proportional to 6,702 and 14,436.75

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Solution

The third proportional to 6,702 and 14,436.75 is: 31,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702 : 14,436.75 = 14,436.75 : x
  2. Step 2: Convert to fraction form
    6,702/14,436.75 = 14,436.75/x
  3. Step 3: Cross multiply
    6,702x = 14,436.75 × 14,436.75
  4. Step 4: Simplify right side
    6,702x = 208,419,750.56
  5. Step 5: Solve for x
    x = 208,419,750.56/6,702
  6. Step 6: Final answer
    x = 31,098.14

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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.