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Finding the Third Proportional to 35,098 and 75,815

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Solution

The third proportional to 35,098 and 75,815 is: 163,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,098 : 75,815 = 75,815 : x
  2. Step 2: Convert to fraction form
    35,098/75,815 = 75,815/x
  3. Step 3: Cross multiply
    35,098x = 75,815 × 75,815
  4. Step 4: Simplify right side
    35,098x = 5,747,914,225
  5. Step 5: Solve for x
    x = 5,747,914,225/35,098
  6. Step 6: Final answer
    x = 163,767.57

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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.