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Finding the Third Proportional to 38,207.50 and 82,983.50

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Solution

The third proportional to 38,207.50 and 82,983.50 is: 180,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,207.50 : 82,983.50 = 82,983.50 : x
  2. Step 2: Convert to fraction form
    38,207.50/82,983.50 = 82,983.50/x
  3. Step 3: Cross multiply
    38,207.50x = 82,983.50 × 82,983.50
  4. Step 4: Simplify right side
    38,207.50x = 6,886,261,272.25
  5. Step 5: Solve for x
    x = 6,886,261,272.25/38,207.50
  6. Step 6: Final answer
    x = 180,233.23

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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.