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Finding the Third Proportional to 12,904.25 and 26,468.75

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Solution

The third proportional to 12,904.25 and 26,468.75 is: 54,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.25 : 26,468.75 = 26,468.75 : x
  2. Step 2: Convert to fraction form
    12,904.25/26,468.75 = 26,468.75/x
  3. Step 3: Cross multiply
    12,904.25x = 26,468.75 × 26,468.75
  4. Step 4: Simplify right side
    12,904.25x = 700,594,726.56
  5. Step 5: Solve for x
    x = 700,594,726.56/12,904.25
  6. Step 6: Final answer
    x = 54,291.78

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.