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Finding the Third Proportional to 35,971 and 73,370

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Solution

The third proportional to 35,971 and 73,370 is: 149,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,971 : 73,370 = 73,370 : x
  2. Step 2: Convert to fraction form
    35,971/73,370 = 73,370/x
  3. Step 3: Cross multiply
    35,971x = 73,370 × 73,370
  4. Step 4: Simplify right side
    35,971x = 5,383,156,900
  5. Step 5: Solve for x
    x = 5,383,156,900/35,971
  6. Step 6: Final answer
    x = 149,652.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.