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Finding the Third Proportional to 39,412 and 85,380

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Solution

The third proportional to 39,412 and 85,380 is: 184,962.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,412 : 85,380 = 85,380 : x
  2. Step 2: Convert to fraction form
    39,412/85,380 = 85,380/x
  3. Step 3: Cross multiply
    39,412x = 85,380 × 85,380
  4. Step 4: Simplify right side
    39,412x = 7,289,744,400
  5. Step 5: Solve for x
    x = 7,289,744,400/39,412
  6. Step 6: Final answer
    x = 184,962.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.