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Finding the Third Proportional to 38,516.25 and 83,350.50

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Solution

The third proportional to 38,516.25 and 83,350.50 is: 180,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,516.25 : 83,350.50 = 83,350.50 : x
  2. Step 2: Convert to fraction form
    38,516.25/83,350.50 = 83,350.50/x
  3. Step 3: Cross multiply
    38,516.25x = 83,350.50 × 83,350.50
  4. Step 4: Simplify right side
    38,516.25x = 6,947,305,850.25
  5. Step 5: Solve for x
    x = 6,947,305,850.25/38,516.25
  6. Step 6: Final answer
    x = 180,373.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.