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Finding the Third Proportional to 29,356 and 39,325

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Solution

The third proportional to 29,356 and 39,325 is: 52,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,356 : 39,325 = 39,325 : x
  2. Step 2: Convert to fraction form
    29,356/39,325 = 39,325/x
  3. Step 3: Cross multiply
    29,356x = 39,325 × 39,325
  4. Step 4: Simplify right side
    29,356x = 1,546,455,625
  5. Step 5: Solve for x
    x = 1,546,455,625/29,356
  6. Step 6: Final answer
    x = 52,679.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.