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Finding the Third Proportional to 13,592.25 and 21,624.75

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Solution

The third proportional to 13,592.25 and 21,624.75 is: 34,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592.25 : 21,624.75 = 21,624.75 : x
  2. Step 2: Convert to fraction form
    13,592.25/21,624.75 = 21,624.75/x
  3. Step 3: Cross multiply
    13,592.25x = 21,624.75 × 21,624.75
  4. Step 4: Simplify right side
    13,592.25x = 467,629,812.56
  5. Step 5: Solve for x
    x = 467,629,812.56/13,592.25
  6. Step 6: Final answer
    x = 34,404.15

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.