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Finding the Third Proportional to 36,219.50 and 56,036

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Solution

The third proportional to 36,219.50 and 56,036 is: 86,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,219.50 : 56,036 = 56,036 : x
  2. Step 2: Convert to fraction form
    36,219.50/56,036 = 56,036/x
  3. Step 3: Cross multiply
    36,219.50x = 56,036 × 56,036
  4. Step 4: Simplify right side
    36,219.50x = 3,140,033,296
  5. Step 5: Solve for x
    x = 3,140,033,296/36,219.50
  6. Step 6: Final answer
    x = 86,694.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.