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Finding the Third Proportional to 38,459 and 82,020.50

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Solution

The third proportional to 38,459 and 82,020.50 is: 174,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,459 : 82,020.50 = 82,020.50 : x
  2. Step 2: Convert to fraction form
    38,459/82,020.50 = 82,020.50/x
  3. Step 3: Cross multiply
    38,459x = 82,020.50 × 82,020.50
  4. Step 4: Simplify right side
    38,459x = 6,727,362,420.25
  5. Step 5: Solve for x
    x = 6,727,362,420.25/38,459
  6. Step 6: Final answer
    x = 174,922.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.