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Finding the Third Proportional to 6,664.78 and 9,349.17

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Solution

The third proportional to 6,664.78 and 9,349.17 is: 13,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.78 : 9,349.17 = 9,349.17 : x
  2. Step 2: Convert to fraction form
    6,664.78/9,349.17 = 9,349.17/x
  3. Step 3: Cross multiply
    6,664.78x = 9,349.17 × 9,349.17
  4. Step 4: Simplify right side
    6,664.78x = 87,407,014.75
  5. Step 5: Solve for x
    x = 87,407,014.75/6,664.78
  6. Step 6: Final answer
    x = 13,114.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.