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Finding the Third Proportional to 16,398 and 35,134

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Solution

The third proportional to 16,398 and 35,134 is: 75,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,398 : 35,134 = 35,134 : x
  2. Step 2: Convert to fraction form
    16,398/35,134 = 35,134/x
  3. Step 3: Cross multiply
    16,398x = 35,134 × 35,134
  4. Step 4: Simplify right side
    16,398x = 1,234,397,956
  5. Step 5: Solve for x
    x = 1,234,397,956/16,398
  6. Step 6: Final answer
    x = 75,277.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.