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Finding the Third Proportional to 36,222 and 55,409.25

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Solution

The third proportional to 36,222 and 55,409.25 is: 84,760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,222 : 55,409.25 = 55,409.25 : x
  2. Step 2: Convert to fraction form
    36,222/55,409.25 = 55,409.25/x
  3. Step 3: Cross multiply
    36,222x = 55,409.25 × 55,409.25
  4. Step 4: Simplify right side
    36,222x = 3,070,184,985.56
  5. Step 5: Solve for x
    x = 3,070,184,985.56/36,222
  6. Step 6: Final answer
    x = 84,760.23

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.