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Finding the Third Proportional to 8,186.06 and 12,347.44

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Solution

The third proportional to 8,186.06 and 12,347.44 is: 18,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.06 : 12,347.44 = 12,347.44 : x
  2. Step 2: Convert to fraction form
    8,186.06/12,347.44 = 12,347.44/x
  3. Step 3: Cross multiply
    8,186.06x = 12,347.44 × 12,347.44
  4. Step 4: Simplify right side
    8,186.06x = 152,459,212.82
  5. Step 5: Solve for x
    x = 152,459,212.82/8,186.06
  6. Step 6: Final answer
    x = 18,624.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.