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Finding the Third Proportional to 36,182.25 and 55,648.13

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Solution

The third proportional to 36,182.25 and 55,648.13 is: 85,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,182.25 : 55,648.13 = 55,648.13 : x
  2. Step 2: Convert to fraction form
    36,182.25/55,648.13 = 55,648.13/x
  3. Step 3: Cross multiply
    36,182.25x = 55,648.13 × 55,648.13
  4. Step 4: Simplify right side
    36,182.25x = 3,096,713,816.02
  5. Step 5: Solve for x
    x = 3,096,713,816.02/36,182.25
  6. Step 6: Final answer
    x = 85,586.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.