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Finding the Third Proportional to 39,414 and 87,575

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Solution

The third proportional to 39,414 and 87,575 is: 194,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,414 : 87,575 = 87,575 : x
  2. Step 2: Convert to fraction form
    39,414/87,575 = 87,575/x
  3. Step 3: Cross multiply
    39,414x = 87,575 × 87,575
  4. Step 4: Simplify right side
    39,414x = 7,669,380,625
  5. Step 5: Solve for x
    x = 7,669,380,625/39,414
  6. Step 6: Final answer
    x = 194,585.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.