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Finding the Third Proportional to 35,265.38 and 72,968.34

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Solution

The third proportional to 35,265.38 and 72,968.34 is: 150,980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,265.38 : 72,968.34 = 72,968.34 : x
  2. Step 2: Convert to fraction form
    35,265.38/72,968.34 = 72,968.34/x
  3. Step 3: Cross multiply
    35,265.38x = 72,968.34 × 72,968.34
  4. Step 4: Simplify right side
    35,265.38x = 5,324,379,189.62
  5. Step 5: Solve for x
    x = 5,324,379,189.62/35,265.38
  6. Step 6: Final answer
    x = 150,980.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.