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Finding the Third Proportional to 10,722.38 and 16,083.56

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Solution

The third proportional to 10,722.38 and 16,083.56 is: 24,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.38 : 16,083.56 = 16,083.56 : x
  2. Step 2: Convert to fraction form
    10,722.38/16,083.56 = 16,083.56/x
  3. Step 3: Cross multiply
    10,722.38x = 16,083.56 × 16,083.56
  4. Step 4: Simplify right side
    10,722.38x = 258,680,982.69
  5. Step 5: Solve for x
    x = 258,680,982.69/10,722.38
  6. Step 6: Final answer
    x = 24,125.34

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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.