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Finding the Third Proportional to 36,542.81 and 78,914.25

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Solution

The third proportional to 36,542.81 and 78,914.25 is: 170,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,542.81 : 78,914.25 = 78,914.25 : x
  2. Step 2: Convert to fraction form
    36,542.81/78,914.25 = 78,914.25/x
  3. Step 3: Cross multiply
    36,542.81x = 78,914.25 × 78,914.25
  4. Step 4: Simplify right side
    36,542.81x = 6,227,458,853.06
  5. Step 5: Solve for x
    x = 6,227,458,853.06/36,542.81
  6. Step 6: Final answer
    x = 170,415.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.