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Finding the Third Proportional to 39,695 and 85,622

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Solution

The third proportional to 39,695 and 85,622 is: 184,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,695 : 85,622 = 85,622 : x
  2. Step 2: Convert to fraction form
    39,695/85,622 = 85,622/x
  3. Step 3: Cross multiply
    39,695x = 85,622 × 85,622
  4. Step 4: Simplify right side
    39,695x = 7,331,126,884
  5. Step 5: Solve for x
    x = 7,331,126,884/39,695
  6. Step 6: Final answer
    x = 184,686.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.