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Finding the Third Proportional to 30,696 and 66,944

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Solution

The third proportional to 30,696 and 66,944 is: 145,996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696 : 66,944 = 66,944 : x
  2. Step 2: Convert to fraction form
    30,696/66,944 = 66,944/x
  3. Step 3: Cross multiply
    30,696x = 66,944 × 66,944
  4. Step 4: Simplify right side
    30,696x = 4,481,499,136
  5. Step 5: Solve for x
    x = 4,481,499,136/30,696
  6. Step 6: Final answer
    x = 145,996.19

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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.