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Finding the Third Proportional to 39,414 and 61,194

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Solution

The third proportional to 39,414 and 61,194 is: 95,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,414 : 61,194 = 61,194 : x
  2. Step 2: Convert to fraction form
    39,414/61,194 = 61,194/x
  3. Step 3: Cross multiply
    39,414x = 61,194 × 61,194
  4. Step 4: Simplify right side
    39,414x = 3,744,705,636
  5. Step 5: Solve for x
    x = 3,744,705,636/39,414
  6. Step 6: Final answer
    x = 95,009.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.