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Finding the Third Proportional to 13,056.75 and 19,535.63

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Solution

The third proportional to 13,056.75 and 19,535.63 is: 29,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,056.75 : 19,535.63 = 19,535.63 : x
  2. Step 2: Convert to fraction form
    13,056.75/19,535.63 = 19,535.63/x
  3. Step 3: Cross multiply
    13,056.75x = 19,535.63 × 19,535.63
  4. Step 4: Simplify right side
    13,056.75x = 381,640,644.14
  5. Step 5: Solve for x
    x = 381,640,644.14/13,056.75
  6. Step 6: Final answer
    x = 29,229.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.