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Finding the Third Proportional to 3,426.75 and 5,144.06

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Solution

The third proportional to 3,426.75 and 5,144.06 is: 7,722.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.75 : 5,144.06 = 5,144.06 : x
  2. Step 2: Convert to fraction form
    3,426.75/5,144.06 = 5,144.06/x
  3. Step 3: Cross multiply
    3,426.75x = 5,144.06 × 5,144.06
  4. Step 4: Simplify right side
    3,426.75x = 26,461,379.00
  5. Step 5: Solve for x
    x = 26,461,379.00/3,426.75
  6. Step 6: Final answer
    x = 7,722.00

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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.