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Finding the Third Proportional to 8,385.19 and 13,174.31

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Solution

The third proportional to 8,385.19 and 13,174.31 is: 20,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.19 : 13,174.31 = 13,174.31 : x
  2. Step 2: Convert to fraction form
    8,385.19/13,174.31 = 13,174.31/x
  3. Step 3: Cross multiply
    8,385.19x = 13,174.31 × 13,174.31
  4. Step 4: Simplify right side
    8,385.19x = 173,562,509.85
  5. Step 5: Solve for x
    x = 173,562,509.85/8,385.19
  6. Step 6: Final answer
    x = 20,698.70

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.