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Finding the Third Proportional to 36,326.81 and 48,817.69

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Solution

The third proportional to 36,326.81 and 48,817.69 is: 65,603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,326.81 : 48,817.69 = 48,817.69 : x
  2. Step 2: Convert to fraction form
    36,326.81/48,817.69 = 48,817.69/x
  3. Step 3: Cross multiply
    36,326.81x = 48,817.69 × 48,817.69
  4. Step 4: Simplify right side
    36,326.81x = 2,383,166,612.85
  5. Step 5: Solve for x
    x = 2,383,166,612.85/36,326.81
  6. Step 6: Final answer
    x = 65,603.52

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.