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Finding the Third Proportional to 25,631 and 39,182

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Solution

The third proportional to 25,631 and 39,182 is: 59,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,631 : 39,182 = 39,182 : x
  2. Step 2: Convert to fraction form
    25,631/39,182 = 39,182/x
  3. Step 3: Cross multiply
    25,631x = 39,182 × 39,182
  4. Step 4: Simplify right side
    25,631x = 1,535,229,124
  5. Step 5: Solve for x
    x = 1,535,229,124/25,631
  6. Step 6: Final answer
    x = 59,897.36

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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.