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Finding the Third Proportional to 16,759 and 35,461

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Solution

The third proportional to 16,759 and 35,461 is: 75,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,759 : 35,461 = 35,461 : x
  2. Step 2: Convert to fraction form
    16,759/35,461 = 35,461/x
  3. Step 3: Cross multiply
    16,759x = 35,461 × 35,461
  4. Step 4: Simplify right side
    16,759x = 1,257,482,521
  5. Step 5: Solve for x
    x = 1,257,482,521/16,759
  6. Step 6: Final answer
    x = 75,033.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.