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Finding the Third Proportional to 35,664.75 and 55,194.75

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Solution

The third proportional to 35,664.75 and 55,194.75 is: 85,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,664.75 : 55,194.75 = 55,194.75 : x
  2. Step 2: Convert to fraction form
    35,664.75/55,194.75 = 55,194.75/x
  3. Step 3: Cross multiply
    35,664.75x = 55,194.75 × 55,194.75
  4. Step 4: Simplify right side
    35,664.75x = 3,046,460,427.56
  5. Step 5: Solve for x
    x = 3,046,460,427.56/35,664.75
  6. Step 6: Final answer
    x = 85,419.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.