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Finding the Third Proportional to 34,696 and 73,710

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Solution

The third proportional to 34,696 and 73,710 is: 156,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,696 : 73,710 = 73,710 : x
  2. Step 2: Convert to fraction form
    34,696/73,710 = 73,710/x
  3. Step 3: Cross multiply
    34,696x = 73,710 × 73,710
  4. Step 4: Simplify right side
    34,696x = 5,433,164,100
  5. Step 5: Solve for x
    x = 5,433,164,100/34,696
  6. Step 6: Final answer
    x = 156,593.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.