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Finding the Third Proportional to 11,122.31 and 16,683.47

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Solution

The third proportional to 11,122.31 and 16,683.47 is: 25,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122.31 : 16,683.47 = 16,683.47 : x
  2. Step 2: Convert to fraction form
    11,122.31/16,683.47 = 16,683.47/x
  3. Step 3: Cross multiply
    11,122.31x = 16,683.47 × 16,683.47
  4. Step 4: Simplify right side
    11,122.31x = 278,338,129.53
  5. Step 5: Solve for x
    x = 278,338,129.53/11,122.31
  6. Step 6: Final answer
    x = 25,025.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.