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Finding the Third Proportional to 39,407 and 85,512

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Solution

The third proportional to 39,407 and 85,512 is: 185,558.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,407 : 85,512 = 85,512 : x
  2. Step 2: Convert to fraction form
    39,407/85,512 = 85,512/x
  3. Step 3: Cross multiply
    39,407x = 85,512 × 85,512
  4. Step 4: Simplify right side
    39,407x = 7,312,302,144
  5. Step 5: Solve for x
    x = 7,312,302,144/39,407
  6. Step 6: Final answer
    x = 185,558.46

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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.