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Finding the Third Proportional to 36,563.91 and 66,840.19

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Solution

The third proportional to 36,563.91 and 66,840.19 is: 122,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,563.91 : 66,840.19 = 66,840.19 : x
  2. Step 2: Convert to fraction form
    36,563.91/66,840.19 = 66,840.19/x
  3. Step 3: Cross multiply
    36,563.91x = 66,840.19 × 66,840.19
  4. Step 4: Simplify right side
    36,563.91x = 4,467,610,665.04
  5. Step 5: Solve for x
    x = 4,467,610,665.04/36,563.91
  6. Step 6: Final answer
    x = 122,186.36

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.