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Finding the Third Proportional to 6,204.84 and 13,381.69

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Solution

The third proportional to 6,204.84 and 13,381.69 is: 28,859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.84 : 13,381.69 = 13,381.69 : x
  2. Step 2: Convert to fraction form
    6,204.84/13,381.69 = 13,381.69/x
  3. Step 3: Cross multiply
    6,204.84x = 13,381.69 × 13,381.69
  4. Step 4: Simplify right side
    6,204.84x = 179,069,560.35
  5. Step 5: Solve for x
    x = 179,069,560.35/6,204.84
  6. Step 6: Final answer
    x = 28,859.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.