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Finding the Third Proportional to 7,563.73 and 8,255.71

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Solution

The third proportional to 7,563.73 and 8,255.71 is: 9,011.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.73 : 8,255.71 = 8,255.71 : x
  2. Step 2: Convert to fraction form
    7,563.73/8,255.71 = 8,255.71/x
  3. Step 3: Cross multiply
    7,563.73x = 8,255.71 × 8,255.71
  4. Step 4: Simplify right side
    7,563.73x = 68,156,771.15
  5. Step 5: Solve for x
    x = 68,156,771.15/7,563.73
  6. Step 6: Final answer
    x = 9,011.00

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.