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Finding the Third Proportional to 13,591 and 20,896.50

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Solution

The third proportional to 13,591 and 20,896.50 is: 32,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,591 : 20,896.50 = 20,896.50 : x
  2. Step 2: Convert to fraction form
    13,591/20,896.50 = 20,896.50/x
  3. Step 3: Cross multiply
    13,591x = 20,896.50 × 20,896.50
  4. Step 4: Simplify right side
    13,591x = 436,663,712.25
  5. Step 5: Solve for x
    x = 436,663,712.25/13,591
  6. Step 6: Final answer
    x = 32,128.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.