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Finding the Third Proportional to 8,046 and 16,861.13

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Solution

The third proportional to 8,046 and 16,861.13 is: 35,334.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046 : 16,861.13 = 16,861.13 : x
  2. Step 2: Convert to fraction form
    8,046/16,861.13 = 16,861.13/x
  3. Step 3: Cross multiply
    8,046x = 16,861.13 × 16,861.13
  4. Step 4: Simplify right side
    8,046x = 284,297,536.27
  5. Step 5: Solve for x
    x = 284,297,536.27/8,046
  6. Step 6: Final answer
    x = 35,334.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.