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Finding the Third Proportional to 36,852.75 and 55,964.25

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Solution

The third proportional to 36,852.75 and 55,964.25 is: 84,986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,852.75 : 55,964.25 = 55,964.25 : x
  2. Step 2: Convert to fraction form
    36,852.75/55,964.25 = 55,964.25/x
  3. Step 3: Cross multiply
    36,852.75x = 55,964.25 × 55,964.25
  4. Step 4: Simplify right side
    36,852.75x = 3,131,997,278.06
  5. Step 5: Solve for x
    x = 3,131,997,278.06/36,852.75
  6. Step 6: Final answer
    x = 84,986.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.