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Finding the Third Proportional to 39,648 and 84,832

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Solution

The third proportional to 39,648 and 84,832 is: 181,508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,648 : 84,832 = 84,832 : x
  2. Step 2: Convert to fraction form
    39,648/84,832 = 84,832/x
  3. Step 3: Cross multiply
    39,648x = 84,832 × 84,832
  4. Step 4: Simplify right side
    39,648x = 7,196,468,224
  5. Step 5: Solve for x
    x = 7,196,468,224/39,648
  6. Step 6: Final answer
    x = 181,508.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.