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Finding the Third Proportional to 35,341 and 76,915

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Solution

The third proportional to 35,341 and 76,915 is: 167,395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,341 : 76,915 = 76,915 : x
  2. Step 2: Convert to fraction form
    35,341/76,915 = 76,915/x
  3. Step 3: Cross multiply
    35,341x = 76,915 × 76,915
  4. Step 4: Simplify right side
    35,341x = 5,915,917,225
  5. Step 5: Solve for x
    x = 5,915,917,225/35,341
  6. Step 6: Final answer
    x = 167,395.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.