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Finding the Third Proportional to 12,919.25 and 26,386.75

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Solution

The third proportional to 12,919.25 and 26,386.75 is: 53,893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,919.25 : 26,386.75 = 26,386.75 : x
  2. Step 2: Convert to fraction form
    12,919.25/26,386.75 = 26,386.75/x
  3. Step 3: Cross multiply
    12,919.25x = 26,386.75 × 26,386.75
  4. Step 4: Simplify right side
    12,919.25x = 696,260,575.56
  5. Step 5: Solve for x
    x = 696,260,575.56/12,919.25
  6. Step 6: Final answer
    x = 53,893.27

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