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Finding the Third Proportional to 3,585.09 and 8,255.67

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Solution

The third proportional to 3,585.09 and 8,255.67 is: 19,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.09 : 8,255.67 = 8,255.67 : x
  2. Step 2: Convert to fraction form
    3,585.09/8,255.67 = 8,255.67/x
  3. Step 3: Cross multiply
    3,585.09x = 8,255.67 × 8,255.67
  4. Step 4: Simplify right side
    3,585.09x = 68,156,118.11
  5. Step 5: Solve for x
    x = 68,156,118.11/3,585.09
  6. Step 6: Final answer
    x = 19,010.97

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.