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Finding the Third Proportional to 39,027 and 82,915

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Solution

The third proportional to 39,027 and 82,915 is: 176,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,027 : 82,915 = 82,915 : x
  2. Step 2: Convert to fraction form
    39,027/82,915 = 82,915/x
  3. Step 3: Cross multiply
    39,027x = 82,915 × 82,915
  4. Step 4: Simplify right side
    39,027x = 6,874,897,225
  5. Step 5: Solve for x
    x = 6,874,897,225/39,027
  6. Step 6: Final answer
    x = 176,157.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.