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Finding the Third Proportional to 25,606 and 39,635

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Solution

The third proportional to 25,606 and 39,635 is: 61,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,606 : 39,635 = 39,635 : x
  2. Step 2: Convert to fraction form
    25,606/39,635 = 39,635/x
  3. Step 3: Cross multiply
    25,606x = 39,635 × 39,635
  4. Step 4: Simplify right side
    25,606x = 1,570,933,225
  5. Step 5: Solve for x
    x = 1,570,933,225/25,606
  6. Step 6: Final answer
    x = 61,350.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.