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Finding the Third Proportional to 25,914 and 39,622

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Solution

The third proportional to 25,914 and 39,622 is: 60,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,914 : 39,622 = 39,622 : x
  2. Step 2: Convert to fraction form
    25,914/39,622 = 39,622/x
  3. Step 3: Cross multiply
    25,914x = 39,622 × 39,622
  4. Step 4: Simplify right side
    25,914x = 1,569,902,884
  5. Step 5: Solve for x
    x = 1,569,902,884/25,914
  6. Step 6: Final answer
    x = 60,581.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.