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Finding the Third Proportional to 39,270 and 83,832

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Solution

The third proportional to 39,270 and 83,832 is: 178,961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,270 : 83,832 = 83,832 : x
  2. Step 2: Convert to fraction form
    39,270/83,832 = 83,832/x
  3. Step 3: Cross multiply
    39,270x = 83,832 × 83,832
  4. Step 4: Simplify right side
    39,270x = 7,027,804,224
  5. Step 5: Solve for x
    x = 7,027,804,224/39,270
  6. Step 6: Final answer
    x = 178,961.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.