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Finding the Third Proportional to 36,424.69 and 78,963.19

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Solution

The third proportional to 36,424.69 and 78,963.19 is: 171,180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,424.69 : 78,963.19 = 78,963.19 : x
  2. Step 2: Convert to fraction form
    36,424.69/78,963.19 = 78,963.19/x
  3. Step 3: Cross multiply
    36,424.69x = 78,963.19 × 78,963.19
  4. Step 4: Simplify right side
    36,424.69x = 6,235,184,980.16
  5. Step 5: Solve for x
    x = 6,235,184,980.16/36,424.69
  6. Step 6: Final answer
    x = 171,180.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.