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Finding the Third Proportional to 39,408 and 84,356

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Solution

The third proportional to 39,408 and 84,356 is: 180,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,408 : 84,356 = 84,356 : x
  2. Step 2: Convert to fraction form
    39,408/84,356 = 84,356/x
  3. Step 3: Cross multiply
    39,408x = 84,356 × 84,356
  4. Step 4: Simplify right side
    39,408x = 7,115,934,736
  5. Step 5: Solve for x
    x = 7,115,934,736/39,408
  6. Step 6: Final answer
    x = 180,570.82

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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.