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Finding the Third Proportional to 3,089.50 and 6,664.75

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Solution

The third proportional to 3,089.50 and 6,664.75 is: 14,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.50 : 6,664.75 = 6,664.75 : x
  2. Step 2: Convert to fraction form
    3,089.50/6,664.75 = 6,664.75/x
  3. Step 3: Cross multiply
    3,089.50x = 6,664.75 × 6,664.75
  4. Step 4: Simplify right side
    3,089.50x = 44,418,892.56
  5. Step 5: Solve for x
    x = 44,418,892.56/3,089.50
  6. Step 6: Final answer
    x = 14,377.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.