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Finding the Third Proportional to 5,338.69 and 8,007.19

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Solution

The third proportional to 5,338.69 and 8,007.19 is: 12,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.69 : 8,007.19 = 8,007.19 : x
  2. Step 2: Convert to fraction form
    5,338.69/8,007.19 = 8,007.19/x
  3. Step 3: Cross multiply
    5,338.69x = 8,007.19 × 8,007.19
  4. Step 4: Simplify right side
    5,338.69x = 64,115,051.66
  5. Step 5: Solve for x
    x = 64,115,051.66/5,338.69
  6. Step 6: Final answer
    x = 12,009.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.