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Finding the Third Proportional to 36,186.75 and 56,596.50

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Solution

The third proportional to 36,186.75 and 56,596.50 is: 88,517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,186.75 : 56,596.50 = 56,596.50 : x
  2. Step 2: Convert to fraction form
    36,186.75/56,596.50 = 56,596.50/x
  3. Step 3: Cross multiply
    36,186.75x = 56,596.50 × 56,596.50
  4. Step 4: Simplify right side
    36,186.75x = 3,203,163,812.25
  5. Step 5: Solve for x
    x = 3,203,163,812.25/36,186.75
  6. Step 6: Final answer
    x = 88,517.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.