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

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Solution

The third proportional to 39,772 and 85,771 is: 184,970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,772 : 85,771 = 85,771 : x
  2. Step 2: Convert to fraction form
    39,772/85,771 = 85,771/x
  3. Step 3: Cross multiply
    39,772x = 85,771 × 85,771
  4. Step 4: Simplify right side
    39,772x = 7,356,664,441
  5. Step 5: Solve for x
    x = 7,356,664,441/39,772
  6. Step 6: Final answer
    x = 184,970.95

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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.