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Finding the Third Proportional to 16,496 and 34,611

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Solution

The third proportional to 16,496 and 34,611 is: 72,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496 : 34,611 = 34,611 : x
  2. Step 2: Convert to fraction form
    16,496/34,611 = 34,611/x
  3. Step 3: Cross multiply
    16,496x = 34,611 × 34,611
  4. Step 4: Simplify right side
    16,496x = 1,197,921,321
  5. Step 5: Solve for x
    x = 1,197,921,321/16,496
  6. Step 6: Final answer
    x = 72,618.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.