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Finding the Third Proportional to 6,274.13 and 8,550.56

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Solution

The third proportional to 6,274.13 and 8,550.56 is: 11,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.13 : 8,550.56 = 8,550.56 : x
  2. Step 2: Convert to fraction form
    6,274.13/8,550.56 = 8,550.56/x
  3. Step 3: Cross multiply
    6,274.13x = 8,550.56 × 8,550.56
  4. Step 4: Simplify right side
    6,274.13x = 73,112,119.07
  5. Step 5: Solve for x
    x = 73,112,119.07/6,274.13
  6. Step 6: Final answer
    x = 11,652.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.