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Finding the Third Proportional to 25,367 and 36,056

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Solution

The third proportional to 25,367 and 36,056 is: 51,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,367 : 36,056 = 36,056 : x
  2. Step 2: Convert to fraction form
    25,367/36,056 = 36,056/x
  3. Step 3: Cross multiply
    25,367x = 36,056 × 36,056
  4. Step 4: Simplify right side
    25,367x = 1,300,035,136
  5. Step 5: Solve for x
    x = 1,300,035,136/25,367
  6. Step 6: Final answer
    x = 51,249.07

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.