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Finding the Third Proportional to 38,011 and 80,944

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Solution

The third proportional to 38,011 and 80,944 is: 172,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,011 : 80,944 = 80,944 : x
  2. Step 2: Convert to fraction form
    38,011/80,944 = 80,944/x
  3. Step 3: Cross multiply
    38,011x = 80,944 × 80,944
  4. Step 4: Simplify right side
    38,011x = 6,551,931,136
  5. Step 5: Solve for x
    x = 6,551,931,136/38,011
  6. Step 6: Final answer
    x = 172,369.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.