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Finding the Third Proportional to 35,286 and 75,689

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Solution

The third proportional to 35,286 and 75,689 is: 162,354.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,286 : 75,689 = 75,689 : x
  2. Step 2: Convert to fraction form
    35,286/75,689 = 75,689/x
  3. Step 3: Cross multiply
    35,286x = 75,689 × 75,689
  4. Step 4: Simplify right side
    35,286x = 5,728,824,721
  5. Step 5: Solve for x
    x = 5,728,824,721/35,286
  6. Step 6: Final answer
    x = 162,354.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.