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Finding the Third Proportional to 35,667 and 55,208.25

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Solution

The third proportional to 35,667 and 55,208.25 is: 85,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,667 : 55,208.25 = 55,208.25 : x
  2. Step 2: Convert to fraction form
    35,667/55,208.25 = 55,208.25/x
  3. Step 3: Cross multiply
    35,667x = 55,208.25 × 55,208.25
  4. Step 4: Simplify right side
    35,667x = 3,047,950,868.06
  5. Step 5: Solve for x
    x = 3,047,950,868.06/35,667
  6. Step 6: Final answer
    x = 85,455.77

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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.