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Finding the Third Proportional to 6,306.75 and 13,218.75

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Solution

The third proportional to 6,306.75 and 13,218.75 is: 27,706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.75 : 13,218.75 = 13,218.75 : x
  2. Step 2: Convert to fraction form
    6,306.75/13,218.75 = 13,218.75/x
  3. Step 3: Cross multiply
    6,306.75x = 13,218.75 × 13,218.75
  4. Step 4: Simplify right side
    6,306.75x = 174,735,351.56
  5. Step 5: Solve for x
    x = 174,735,351.56/6,306.75
  6. Step 6: Final answer
    x = 27,706.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.