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Finding the Third Proportional to 12,917.25 and 26,382.38

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Solution

The third proportional to 12,917.25 and 26,382.38 is: 53,883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.25 : 26,382.38 = 26,382.38 : x
  2. Step 2: Convert to fraction form
    12,917.25/26,382.38 = 26,382.38/x
  3. Step 3: Cross multiply
    12,917.25x = 26,382.38 × 26,382.38
  4. Step 4: Simplify right side
    12,917.25x = 696,029,710.64
  5. Step 5: Solve for x
    x = 696,029,710.64/12,917.25
  6. Step 6: Final answer
    x = 53,883.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.