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Finding the Third Proportional to 5,358.66 and 8,192.39

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Solution

The third proportional to 5,358.66 and 8,192.39 is: 12,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.66 : 8,192.39 = 8,192.39 : x
  2. Step 2: Convert to fraction form
    5,358.66/8,192.39 = 8,192.39/x
  3. Step 3: Cross multiply
    5,358.66x = 8,192.39 × 8,192.39
  4. Step 4: Simplify right side
    5,358.66x = 67,115,264.15
  5. Step 5: Solve for x
    x = 67,115,264.15/5,358.66
  6. Step 6: Final answer
    x = 12,524.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.