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Finding the Third Proportional to 12,874.78 and 18,376.03

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Solution

The third proportional to 12,874.78 and 18,376.03 is: 26,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.78 : 18,376.03 = 18,376.03 : x
  2. Step 2: Convert to fraction form
    12,874.78/18,376.03 = 18,376.03/x
  3. Step 3: Cross multiply
    12,874.78x = 18,376.03 × 18,376.03
  4. Step 4: Simplify right side
    12,874.78x = 337,678,524.50
  5. Step 5: Solve for x
    x = 337,678,524.50/12,874.78
  6. Step 6: Final answer
    x = 26,227.90

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.