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Finding the Third Proportional to 13,396.50 and 21,984.75

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Solution

The third proportional to 13,396.50 and 21,984.75 is: 36,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,396.50 : 21,984.75 = 21,984.75 : x
  2. Step 2: Convert to fraction form
    13,396.50/21,984.75 = 21,984.75/x
  3. Step 3: Cross multiply
    13,396.50x = 21,984.75 × 21,984.75
  4. Step 4: Simplify right side
    13,396.50x = 483,329,232.56
  5. Step 5: Solve for x
    x = 483,329,232.56/13,396.50
  6. Step 6: Final answer
    x = 36,078.77

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.