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Finding the Third Proportional to 13,449 and 20,890.50

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Solution

The third proportional to 13,449 and 20,890.50 is: 32,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,449 : 20,890.50 = 20,890.50 : x
  2. Step 2: Convert to fraction form
    13,449/20,890.50 = 20,890.50/x
  3. Step 3: Cross multiply
    13,449x = 20,890.50 × 20,890.50
  4. Step 4: Simplify right side
    13,449x = 436,412,990.25
  5. Step 5: Solve for x
    x = 436,412,990.25/13,449
  6. Step 6: Final answer
    x = 32,449.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.