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Finding the Third Proportional to 15,683.25 and 33,491.25

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Solution

The third proportional to 15,683.25 and 33,491.25 is: 71,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.25 : 33,491.25 = 33,491.25 : x
  2. Step 2: Convert to fraction form
    15,683.25/33,491.25 = 33,491.25/x
  3. Step 3: Cross multiply
    15,683.25x = 33,491.25 × 33,491.25
  4. Step 4: Simplify right side
    15,683.25x = 1,121,663,826.56
  5. Step 5: Solve for x
    x = 1,121,663,826.56/15,683.25
  6. Step 6: Final answer
    x = 71,519.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.