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Finding the Third Proportional to 35,967.38 and 74,865.09

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Solution

The third proportional to 35,967.38 and 74,865.09 is: 155,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,967.38 : 74,865.09 = 74,865.09 : x
  2. Step 2: Convert to fraction form
    35,967.38/74,865.09 = 74,865.09/x
  3. Step 3: Cross multiply
    35,967.38x = 74,865.09 × 74,865.09
  4. Step 4: Simplify right side
    35,967.38x = 5,604,782,262.20
  5. Step 5: Solve for x
    x = 5,604,782,262.20/35,967.38
  6. Step 6: Final answer
    x = 155,829.62

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.