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Finding the Third Proportional to 25,618 and 37,675

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Solution

The third proportional to 25,618 and 37,675 is: 55,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,618 : 37,675 = 37,675 : x
  2. Step 2: Convert to fraction form
    25,618/37,675 = 37,675/x
  3. Step 3: Cross multiply
    25,618x = 37,675 × 37,675
  4. Step 4: Simplify right side
    25,618x = 1,419,405,625
  5. Step 5: Solve for x
    x = 1,419,405,625/25,618
  6. Step 6: Final answer
    x = 55,406.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.