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Finding the Third Proportional to 35,361 and 76,971

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Solution

The third proportional to 35,361 and 76,971 is: 167,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,361 : 76,971 = 76,971 : x
  2. Step 2: Convert to fraction form
    35,361/76,971 = 76,971/x
  3. Step 3: Cross multiply
    35,361x = 76,971 × 76,971
  4. Step 4: Simplify right side
    35,361x = 5,924,534,841
  5. Step 5: Solve for x
    x = 5,924,534,841/35,361
  6. Step 6: Final answer
    x = 167,544.32

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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.