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Finding the Third Proportional to 10,910.81 and 16,683.19

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Solution

The third proportional to 10,910.81 and 16,683.19 is: 25,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.81 : 16,683.19 = 16,683.19 : x
  2. Step 2: Convert to fraction form
    10,910.81/16,683.19 = 16,683.19/x
  3. Step 3: Cross multiply
    10,910.81x = 16,683.19 × 16,683.19
  4. Step 4: Simplify right side
    10,910.81x = 278,328,745.16
  5. Step 5: Solve for x
    x = 278,328,745.16/10,910.81
  6. Step 6: Final answer
    x = 25,509.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.