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Finding the Third Proportional to 13,554.84 and 20,298.09

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Solution

The third proportional to 13,554.84 and 20,298.09 is: 30,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,554.84 : 20,298.09 = 20,298.09 : x
  2. Step 2: Convert to fraction form
    13,554.84/20,298.09 = 20,298.09/x
  3. Step 3: Cross multiply
    13,554.84x = 20,298.09 × 20,298.09
  4. Step 4: Simplify right side
    13,554.84x = 412,012,609.88
  5. Step 5: Solve for x
    x = 412,012,609.88/13,554.84
  6. Step 6: Final answer
    x = 30,395.97

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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.