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Finding the Third Proportional to 39,447 and 86,543

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Solution

The third proportional to 39,447 and 86,543 is: 189,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,447 : 86,543 = 86,543 : x
  2. Step 2: Convert to fraction form
    39,447/86,543 = 86,543/x
  3. Step 3: Cross multiply
    39,447x = 86,543 × 86,543
  4. Step 4: Simplify right side
    39,447x = 7,489,690,849
  5. Step 5: Solve for x
    x = 7,489,690,849/39,447
  6. Step 6: Final answer
    x = 189,867.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.