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Finding the Third Proportional to 39,586 and 94,604

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Solution

The third proportional to 39,586 and 94,604 is: 226,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,586 : 94,604 = 94,604 : x
  2. Step 2: Convert to fraction form
    39,586/94,604 = 94,604/x
  3. Step 3: Cross multiply
    39,586x = 94,604 × 94,604
  4. Step 4: Simplify right side
    39,586x = 8,949,916,816
  5. Step 5: Solve for x
    x = 8,949,916,816/39,586
  6. Step 6: Final answer
    x = 226,087.93

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.