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Finding the Third Proportional to 39,377 and 85,318

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Solution

The third proportional to 39,377 and 85,318 is: 184,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,377 : 85,318 = 85,318 : x
  2. Step 2: Convert to fraction form
    39,377/85,318 = 85,318/x
  3. Step 3: Cross multiply
    39,377x = 85,318 × 85,318
  4. Step 4: Simplify right side
    39,377x = 7,279,161,124
  5. Step 5: Solve for x
    x = 7,279,161,124/39,377
  6. Step 6: Final answer
    x = 184,858.19

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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.