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Finding the Third Proportional to 35,617.22 and 76,001.34

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Solution

The third proportional to 35,617.22 and 76,001.34 is: 162,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,617.22 : 76,001.34 = 76,001.34 : x
  2. Step 2: Convert to fraction form
    35,617.22/76,001.34 = 76,001.34/x
  3. Step 3: Cross multiply
    35,617.22x = 76,001.34 × 76,001.34
  4. Step 4: Simplify right side
    35,617.22x = 5,776,204,251.81
  5. Step 5: Solve for x
    x = 5,776,204,251.81/35,617.22
  6. Step 6: Final answer
    x = 162,174.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.