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Finding the Third Proportional to 39,936 and 87,346

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Solution

The third proportional to 39,936 and 87,346 is: 191,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,936 : 87,346 = 87,346 : x
  2. Step 2: Convert to fraction form
    39,936/87,346 = 87,346/x
  3. Step 3: Cross multiply
    39,936x = 87,346 × 87,346
  4. Step 4: Simplify right side
    39,936x = 7,629,323,716
  5. Step 5: Solve for x
    x = 7,629,323,716/39,936
  6. Step 6: Final answer
    x = 191,038.75

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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.