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Finding the Third Proportional to 16,351 and 35,293

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Solution

The third proportional to 16,351 and 35,293 is: 76,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,351 : 35,293 = 35,293 : x
  2. Step 2: Convert to fraction form
    16,351/35,293 = 35,293/x
  3. Step 3: Cross multiply
    16,351x = 35,293 × 35,293
  4. Step 4: Simplify right side
    16,351x = 1,245,595,849
  5. Step 5: Solve for x
    x = 1,245,595,849/16,351
  6. Step 6: Final answer
    x = 76,178.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.