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Finding the Third Proportional to 3,089.34 and 6,664.69

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Solution

The third proportional to 3,089.34 and 6,664.69 is: 14,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.34 : 6,664.69 = 6,664.69 : x
  2. Step 2: Convert to fraction form
    3,089.34/6,664.69 = 6,664.69/x
  3. Step 3: Cross multiply
    3,089.34x = 6,664.69 × 6,664.69
  4. Step 4: Simplify right side
    3,089.34x = 44,418,059.47
  5. Step 5: Solve for x
    x = 44,418,059.47/3,089.34
  6. Step 6: Final answer
    x = 14,377.83

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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.