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Finding the Third Proportional to 12,125.25 and 26,799.75

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Solution

The third proportional to 12,125.25 and 26,799.75 is: 59,233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125.25 : 26,799.75 = 26,799.75 : x
  2. Step 2: Convert to fraction form
    12,125.25/26,799.75 = 26,799.75/x
  3. Step 3: Cross multiply
    12,125.25x = 26,799.75 × 26,799.75
  4. Step 4: Simplify right side
    12,125.25x = 718,226,600.06
  5. Step 5: Solve for x
    x = 718,226,600.06/12,125.25
  6. Step 6: Final answer
    x = 59,233.96

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.