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Finding the Third Proportional to 25,427 and 36,682

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Solution

The third proportional to 25,427 and 36,682 is: 52,918.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,427 : 36,682 = 36,682 : x
  2. Step 2: Convert to fraction form
    25,427/36,682 = 36,682/x
  3. Step 3: Cross multiply
    25,427x = 36,682 × 36,682
  4. Step 4: Simplify right side
    25,427x = 1,345,569,124
  5. Step 5: Solve for x
    x = 1,345,569,124/25,427
  6. Step 6: Final answer
    x = 52,918.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.