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Finding the Third Proportional to 8,024.48 and 12,060.98

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Solution

The third proportional to 8,024.48 and 12,060.98 is: 18,127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.48 : 12,060.98 = 12,060.98 : x
  2. Step 2: Convert to fraction form
    8,024.48/12,060.98 = 12,060.98/x
  3. Step 3: Cross multiply
    8,024.48x = 12,060.98 × 12,060.98
  4. Step 4: Simplify right side
    8,024.48x = 145,467,344.09
  5. Step 5: Solve for x
    x = 145,467,344.09/8,024.48
  6. Step 6: Final answer
    x = 18,127.94

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