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Finding the Third Proportional to 36,334.88 and 78,235.13

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Solution

The third proportional to 36,334.88 and 78,235.13 is: 168,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,334.88 : 78,235.13 = 78,235.13 : x
  2. Step 2: Convert to fraction form
    36,334.88/78,235.13 = 78,235.13/x
  3. Step 3: Cross multiply
    36,334.88x = 78,235.13 × 78,235.13
  4. Step 4: Simplify right side
    36,334.88x = 6,120,734,783.77
  5. Step 5: Solve for x
    x = 6,120,734,783.77/36,334.88
  6. Step 6: Final answer
    x = 168,453.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.