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Finding the Third Proportional to 36,304.69 and 78,640.72

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Solution

The third proportional to 36,304.69 and 78,640.72 is: 170,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,304.69 : 78,640.72 = 78,640.72 : x
  2. Step 2: Convert to fraction form
    36,304.69/78,640.72 = 78,640.72/x
  3. Step 3: Cross multiply
    36,304.69x = 78,640.72 × 78,640.72
  4. Step 4: Simplify right side
    36,304.69x = 6,184,362,338.33
  5. Step 5: Solve for x
    x = 6,184,362,338.33/36,304.69
  6. Step 6: Final answer
    x = 170,346.10

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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.