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Finding the Third Proportional to 35,216.44 and 76,404.09

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Solution

The third proportional to 35,216.44 and 76,404.09 is: 165,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,216.44 : 76,404.09 = 76,404.09 : x
  2. Step 2: Convert to fraction form
    35,216.44/76,404.09 = 76,404.09/x
  3. Step 3: Cross multiply
    35,216.44x = 76,404.09 × 76,404.09
  4. Step 4: Simplify right side
    35,216.44x = 5,837,585,541.76
  5. Step 5: Solve for x
    x = 5,837,585,541.76/35,216.44
  6. Step 6: Final answer
    x = 165,763.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.