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Finding the Third Proportional to 8,174.67 and 12,571.45

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Solution

The third proportional to 8,174.67 and 12,571.45 is: 19,333.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.67 : 12,571.45 = 12,571.45 : x
  2. Step 2: Convert to fraction form
    8,174.67/12,571.45 = 12,571.45/x
  3. Step 3: Cross multiply
    8,174.67x = 12,571.45 × 12,571.45
  4. Step 4: Simplify right side
    8,174.67x = 158,041,433.67
  5. Step 5: Solve for x
    x = 158,041,433.67/8,174.67
  6. Step 6: Final answer
    x = 19,333.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.