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Finding the Third Proportional to 5,373.84 and 8,186.06

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Solution

The third proportional to 5,373.84 and 8,186.06 is: 12,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,373.84 : 8,186.06 = 8,186.06 : x
  2. Step 2: Convert to fraction form
    5,373.84/8,186.06 = 8,186.06/x
  3. Step 3: Cross multiply
    5,373.84x = 8,186.06 × 8,186.06
  4. Step 4: Simplify right side
    5,373.84x = 67,011,619.25
  5. Step 5: Solve for x
    x = 67,011,619.25/5,373.84
  6. Step 6: Final answer
    x = 12,469.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.