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Finding the Third Proportional to 5,356.69 and 8,029.97

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Solution

The third proportional to 5,356.69 and 8,029.97 is: 12,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.69 : 8,029.97 = 8,029.97 : x
  2. Step 2: Convert to fraction form
    5,356.69/8,029.97 = 8,029.97/x
  3. Step 3: Cross multiply
    5,356.69x = 8,029.97 × 8,029.97
  4. Step 4: Simplify right side
    5,356.69x = 64,480,398.13
  5. Step 5: Solve for x
    x = 64,480,398.13/5,356.69
  6. Step 6: Final answer
    x = 12,037.36

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