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Finding the Third Proportional to 8,401.50 and 12,557.25

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Solution

The third proportional to 8,401.50 and 12,557.25 is: 18,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.50 : 12,557.25 = 12,557.25 : x
  2. Step 2: Convert to fraction form
    8,401.50/12,557.25 = 12,557.25/x
  3. Step 3: Cross multiply
    8,401.50x = 12,557.25 × 12,557.25
  4. Step 4: Simplify right side
    8,401.50x = 157,684,527.56
  5. Step 5: Solve for x
    x = 157,684,527.56/8,401.50
  6. Step 6: Final answer
    x = 18,768.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.