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Finding the Third Proportional to 38,208 and 82,984.50

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Solution

The third proportional to 38,208 and 82,984.50 is: 180,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,208 : 82,984.50 = 82,984.50 : x
  2. Step 2: Convert to fraction form
    38,208/82,984.50 = 82,984.50/x
  3. Step 3: Cross multiply
    38,208x = 82,984.50 × 82,984.50
  4. Step 4: Simplify right side
    38,208x = 6,886,427,240.25
  5. Step 5: Solve for x
    x = 6,886,427,240.25/38,208
  6. Step 6: Final answer
    x = 180,235.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.