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Finding the Third Proportional to 38,517.50 and 83,352.50

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Solution

The third proportional to 38,517.50 and 83,352.50 is: 180,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,517.50 : 83,352.50 = 83,352.50 : x
  2. Step 2: Convert to fraction form
    38,517.50/83,352.50 = 83,352.50/x
  3. Step 3: Cross multiply
    38,517.50x = 83,352.50 × 83,352.50
  4. Step 4: Simplify right side
    38,517.50x = 6,947,639,256.25
  5. Step 5: Solve for x
    x = 6,947,639,256.25/38,517.50
  6. Step 6: Final answer
    x = 180,376.17

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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.