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Finding the Third Proportional to 16,334 and 35,817

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Solution

The third proportional to 16,334 and 35,817 is: 78,539.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334 : 35,817 = 35,817 : x
  2. Step 2: Convert to fraction form
    16,334/35,817 = 35,817/x
  3. Step 3: Cross multiply
    16,334x = 35,817 × 35,817
  4. Step 4: Simplify right side
    16,334x = 1,282,857,489
  5. Step 5: Solve for x
    x = 1,282,857,489/16,334
  6. Step 6: Final answer
    x = 78,539.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.