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Finding the Third Proportional to 21,299.25 and 29,787.75

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Solution

The third proportional to 21,299.25 and 29,787.75 is: 41,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,299.25 : 29,787.75 = 29,787.75 : x
  2. Step 2: Convert to fraction form
    21,299.25/29,787.75 = 29,787.75/x
  3. Step 3: Cross multiply
    21,299.25x = 29,787.75 × 29,787.75
  4. Step 4: Simplify right side
    21,299.25x = 887,310,050.06
  5. Step 5: Solve for x
    x = 887,310,050.06/21,299.25
  6. Step 6: Final answer
    x = 41,659.22

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.