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Finding the Third Proportional to 16,135 and 35,455

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Solution

The third proportional to 16,135 and 35,455 is: 77,908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135 : 35,455 = 35,455 : x
  2. Step 2: Convert to fraction form
    16,135/35,455 = 35,455/x
  3. Step 3: Cross multiply
    16,135x = 35,455 × 35,455
  4. Step 4: Simplify right side
    16,135x = 1,257,057,025
  5. Step 5: Solve for x
    x = 1,257,057,025/16,135
  6. Step 6: Final answer
    x = 77,908.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.