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Finding the Third Proportional to 5,657.50 and 12,182

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Solution

The third proportional to 5,657.50 and 12,182 is: 26,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.50 : 12,182 = 12,182 : x
  2. Step 2: Convert to fraction form
    5,657.50/12,182 = 12,182/x
  3. Step 3: Cross multiply
    5,657.50x = 12,182 × 12,182
  4. Step 4: Simplify right side
    5,657.50x = 148,401,124
  5. Step 5: Solve for x
    x = 148,401,124/5,657.50
  6. Step 6: Final answer
    x = 26,230.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.