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Finding the Third Proportional to 18,496 and 25,274

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Solution

The third proportional to 18,496 and 25,274 is: 34,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496 : 25,274 = 25,274 : x
  2. Step 2: Convert to fraction form
    18,496/25,274 = 25,274/x
  3. Step 3: Cross multiply
    18,496x = 25,274 × 25,274
  4. Step 4: Simplify right side
    18,496x = 638,775,076
  5. Step 5: Solve for x
    x = 638,775,076/18,496
  6. Step 6: Final answer
    x = 34,535.85

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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.