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Finding the Third Proportional to 13,799.25 and 21,864.75

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Solution

The third proportional to 13,799.25 and 21,864.75 is: 34,644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,799.25 : 21,864.75 = 21,864.75 : x
  2. Step 2: Convert to fraction form
    13,799.25/21,864.75 = 21,864.75/x
  3. Step 3: Cross multiply
    13,799.25x = 21,864.75 × 21,864.75
  4. Step 4: Simplify right side
    13,799.25x = 478,067,292.56
  5. Step 5: Solve for x
    x = 478,067,292.56/13,799.25
  6. Step 6: Final answer
    x = 34,644.44

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.