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Finding the Third Proportional to 18,876 and 25,056

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Solution

The third proportional to 18,876 and 25,056 is: 33,259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,876 : 25,056 = 25,056 : x
  2. Step 2: Convert to fraction form
    18,876/25,056 = 25,056/x
  3. Step 3: Cross multiply
    18,876x = 25,056 × 25,056
  4. Step 4: Simplify right side
    18,876x = 627,803,136
  5. Step 5: Solve for x
    x = 627,803,136/18,876
  6. Step 6: Final answer
    x = 33,259.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.