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Finding the Third Proportional to 35,358 and 76,965

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Solution

The third proportional to 35,358 and 76,965 is: 167,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,358 : 76,965 = 76,965 : x
  2. Step 2: Convert to fraction form
    35,358/76,965 = 76,965/x
  3. Step 3: Cross multiply
    35,358x = 76,965 × 76,965
  4. Step 4: Simplify right side
    35,358x = 5,923,611,225
  5. Step 5: Solve for x
    x = 5,923,611,225/35,358
  6. Step 6: Final answer
    x = 167,532.42

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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.