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Finding the Third Proportional to 16,330 and 35,188

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Solution

The third proportional to 16,330 and 35,188 is: 75,823.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,330 : 35,188 = 35,188 : x
  2. Step 2: Convert to fraction form
    16,330/35,188 = 35,188/x
  3. Step 3: Cross multiply
    16,330x = 35,188 × 35,188
  4. Step 4: Simplify right side
    16,330x = 1,238,195,344
  5. Step 5: Solve for x
    x = 1,238,195,344/16,330
  6. Step 6: Final answer
    x = 75,823.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.