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Finding the Third Proportional to 39,026 and 94,325

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Solution

The third proportional to 39,026 and 94,325 is: 227,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,026 : 94,325 = 94,325 : x
  2. Step 2: Convert to fraction form
    39,026/94,325 = 94,325/x
  3. Step 3: Cross multiply
    39,026x = 94,325 × 94,325
  4. Step 4: Simplify right side
    39,026x = 8,897,205,625
  5. Step 5: Solve for x
    x = 8,897,205,625/39,026
  6. Step 6: Final answer
    x = 227,981.49

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.