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Finding the Third Proportional to 6,864.75 and 13,623.19

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Solution

The third proportional to 6,864.75 and 13,623.19 is: 27,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.75 : 13,623.19 = 13,623.19 : x
  2. Step 2: Convert to fraction form
    6,864.75/13,623.19 = 13,623.19/x
  3. Step 3: Cross multiply
    6,864.75x = 13,623.19 × 13,623.19
  4. Step 4: Simplify right side
    6,864.75x = 185,591,237.66
  5. Step 5: Solve for x
    x = 185,591,237.66/6,864.75
  6. Step 6: Final answer
    x = 27,035.40

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.