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Finding the Third Proportional to 7,677.28 and 16,744.22

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Solution

The third proportional to 7,677.28 and 16,744.22 is: 36,519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.28 : 16,744.22 = 16,744.22 : x
  2. Step 2: Convert to fraction form
    7,677.28/16,744.22 = 16,744.22/x
  3. Step 3: Cross multiply
    7,677.28x = 16,744.22 × 16,744.22
  4. Step 4: Simplify right side
    7,677.28x = 280,368,861.55
  5. Step 5: Solve for x
    x = 280,368,861.55/7,677.28
  6. Step 6: Final answer
    x = 36,519.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.