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Finding the Third Proportional to 35,346 and 76,917

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Solution

The third proportional to 35,346 and 76,917 is: 167,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,346 : 76,917 = 76,917 : x
  2. Step 2: Convert to fraction form
    35,346/76,917 = 76,917/x
  3. Step 3: Cross multiply
    35,346x = 76,917 × 76,917
  4. Step 4: Simplify right side
    35,346x = 5,916,224,889
  5. Step 5: Solve for x
    x = 5,916,224,889/35,346
  6. Step 6: Final answer
    x = 167,380.32

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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.