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Finding the Third Proportional to 36,725 and 55,033

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Solution

The third proportional to 36,725 and 55,033 is: 82,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,725 : 55,033 = 55,033 : x
  2. Step 2: Convert to fraction form
    36,725/55,033 = 55,033/x
  3. Step 3: Cross multiply
    36,725x = 55,033 × 55,033
  4. Step 4: Simplify right side
    36,725x = 3,028,631,089
  5. Step 5: Solve for x
    x = 3,028,631,089/36,725
  6. Step 6: Final answer
    x = 82,467.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.