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Finding the Third Proportional to 37,089 and 80,004

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Solution

The third proportional to 37,089 and 80,004 is: 172,575.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,089 : 80,004 = 80,004 : x
  2. Step 2: Convert to fraction form
    37,089/80,004 = 80,004/x
  3. Step 3: Cross multiply
    37,089x = 80,004 × 80,004
  4. Step 4: Simplify right side
    37,089x = 6,400,640,016
  5. Step 5: Solve for x
    x = 6,400,640,016/37,089
  6. Step 6: Final answer
    x = 172,575.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.