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Finding the Third Proportional to 18,478 and 25,244

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Solution

The third proportional to 18,478 and 25,244 is: 34,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,478 : 25,244 = 25,244 : x
  2. Step 2: Convert to fraction form
    18,478/25,244 = 25,244/x
  3. Step 3: Cross multiply
    18,478x = 25,244 × 25,244
  4. Step 4: Simplify right side
    18,478x = 637,259,536
  5. Step 5: Solve for x
    x = 637,259,536/18,478
  6. Step 6: Final answer
    x = 34,487.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.