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Finding the Third Proportional to 5,815.41 and 12,736.69

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Solution

The third proportional to 5,815.41 and 12,736.69 is: 27,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.41 : 12,736.69 = 12,736.69 : x
  2. Step 2: Convert to fraction form
    5,815.41/12,736.69 = 12,736.69/x
  3. Step 3: Cross multiply
    5,815.41x = 12,736.69 × 12,736.69
  4. Step 4: Simplify right side
    5,815.41x = 162,223,208.47
  5. Step 5: Solve for x
    x = 162,223,208.47/5,815.41
  6. Step 6: Final answer
    x = 27,895.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.