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Finding the Third Proportional to 23,586 and 35,682

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Solution

The third proportional to 23,586 and 35,682 is: 53,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,586 : 35,682 = 35,682 : x
  2. Step 2: Convert to fraction form
    23,586/35,682 = 35,682/x
  3. Step 3: Cross multiply
    23,586x = 35,682 × 35,682
  4. Step 4: Simplify right side
    23,586x = 1,273,205,124
  5. Step 5: Solve for x
    x = 1,273,205,124/23,586
  6. Step 6: Final answer
    x = 53,981.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.