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Finding the Third Proportional to 2,600.86 and 3,906.98

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Solution

The third proportional to 2,600.86 and 3,906.98 is: 5,869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.86 : 3,906.98 = 3,906.98 : x
  2. Step 2: Convert to fraction form
    2,600.86/3,906.98 = 3,906.98/x
  3. Step 3: Cross multiply
    2,600.86x = 3,906.98 × 3,906.98
  4. Step 4: Simplify right side
    2,600.86x = 15,264,526.91
  5. Step 5: Solve for x
    x = 15,264,526.91/2,600.86
  6. Step 6: Final answer
    x = 5,869.03

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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.