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Finding the Third Proportional to 3,820.61 and 8,297.12

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Solution

The third proportional to 3,820.61 and 8,297.12 is: 18,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.61 : 8,297.12 = 8,297.12 : x
  2. Step 2: Convert to fraction form
    3,820.61/8,297.12 = 8,297.12/x
  3. Step 3: Cross multiply
    3,820.61x = 8,297.12 × 8,297.12
  4. Step 4: Simplify right side
    3,820.61x = 68,842,218.44
  5. Step 5: Solve for x
    x = 68,842,218.44/3,820.61
  6. Step 6: Final answer
    x = 18,018.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.