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Finding the Third Proportional to 8,207.58 and 11,614.64

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Solution

The third proportional to 8,207.58 and 11,614.64 is: 16,436.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.58 : 11,614.64 = 11,614.64 : x
  2. Step 2: Convert to fraction form
    8,207.58/11,614.64 = 11,614.64/x
  3. Step 3: Cross multiply
    8,207.58x = 11,614.64 × 11,614.64
  4. Step 4: Simplify right side
    8,207.58x = 134,899,876.85
  5. Step 5: Solve for x
    x = 134,899,876.85/8,207.58
  6. Step 6: Final answer
    x = 16,436.01

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.