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Finding the Third Proportional to 39,050 and 84,019

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Solution

The third proportional to 39,050 and 84,019 is: 180,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,050 : 84,019 = 84,019 : x
  2. Step 2: Convert to fraction form
    39,050/84,019 = 84,019/x
  3. Step 3: Cross multiply
    39,050x = 84,019 × 84,019
  4. Step 4: Simplify right side
    39,050x = 7,059,192,361
  5. Step 5: Solve for x
    x = 7,059,192,361/39,050
  6. Step 6: Final answer
    x = 180,773.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.