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Finding the Third Proportional to 6,271.13 and 8,541.56

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Solution

The third proportional to 6,271.13 and 8,541.56 is: 11,634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.13 : 8,541.56 = 8,541.56 : x
  2. Step 2: Convert to fraction form
    6,271.13/8,541.56 = 8,541.56/x
  3. Step 3: Cross multiply
    6,271.13x = 8,541.56 × 8,541.56
  4. Step 4: Simplify right side
    6,271.13x = 72,958,289.94
  5. Step 5: Solve for x
    x = 72,958,289.94/6,271.13
  6. Step 6: Final answer
    x = 11,634.00

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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.