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Finding the Third Proportional to 36,209.53 and 52,238.36

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Solution

The third proportional to 36,209.53 and 52,238.36 is: 75,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,209.53 : 52,238.36 = 52,238.36 : x
  2. Step 2: Convert to fraction form
    36,209.53/52,238.36 = 52,238.36/x
  3. Step 3: Cross multiply
    36,209.53x = 52,238.36 × 52,238.36
  4. Step 4: Simplify right side
    36,209.53x = 2,728,845,782.08
  5. Step 5: Solve for x
    x = 2,728,845,782.08/36,209.53
  6. Step 6: Final answer
    x = 75,362.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.