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Finding the Third Proportional to 39,326 and 86,428

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Solution

The third proportional to 39,326 and 86,428 is: 189,945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,326 : 86,428 = 86,428 : x
  2. Step 2: Convert to fraction form
    39,326/86,428 = 86,428/x
  3. Step 3: Cross multiply
    39,326x = 86,428 × 86,428
  4. Step 4: Simplify right side
    39,326x = 7,469,799,184
  5. Step 5: Solve for x
    x = 7,469,799,184/39,326
  6. Step 6: Final answer
    x = 189,945.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.