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Finding the Third Proportional to 35,558.44 and 76,388.63

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Solution

The third proportional to 35,558.44 and 76,388.63 is: 164,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,558.44 : 76,388.63 = 76,388.63 : x
  2. Step 2: Convert to fraction form
    35,558.44/76,388.63 = 76,388.63/x
  3. Step 3: Cross multiply
    35,558.44x = 76,388.63 × 76,388.63
  4. Step 4: Simplify right side
    35,558.44x = 5,835,222,029.39
  5. Step 5: Solve for x
    x = 5,835,222,029.39/35,558.44
  6. Step 6: Final answer
    x = 164,102.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.