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Finding the Third Proportional to 18,074 and 25,419

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Solution

The third proportional to 18,074 and 25,419 is: 35,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,074 : 25,419 = 25,419 : x
  2. Step 2: Convert to fraction form
    18,074/25,419 = 25,419/x
  3. Step 3: Cross multiply
    18,074x = 25,419 × 25,419
  4. Step 4: Simplify right side
    18,074x = 646,125,561
  5. Step 5: Solve for x
    x = 646,125,561/18,074
  6. Step 6: Final answer
    x = 35,748.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.