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Finding the Third Proportional to 5,847.19 and 8,785.97

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Solution

The third proportional to 5,847.19 and 8,785.97 is: 13,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.19 : 8,785.97 = 8,785.97 : x
  2. Step 2: Convert to fraction form
    5,847.19/8,785.97 = 8,785.97/x
  3. Step 3: Cross multiply
    5,847.19x = 8,785.97 × 8,785.97
  4. Step 4: Simplify right side
    5,847.19x = 77,193,246.88
  5. Step 5: Solve for x
    x = 77,193,246.88/5,847.19
  6. Step 6: Final answer
    x = 13,201.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.