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Finding the Third Proportional to 39,771 and 85,772

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Solution

The third proportional to 39,771 and 85,772 is: 184,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,771 : 85,772 = 85,772 : x
  2. Step 2: Convert to fraction form
    39,771/85,772 = 85,772/x
  3. Step 3: Cross multiply
    39,771x = 85,772 × 85,772
  4. Step 4: Simplify right side
    39,771x = 7,356,835,984
  5. Step 5: Solve for x
    x = 7,356,835,984/39,771
  6. Step 6: Final answer
    x = 184,979.91

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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.