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Finding the Third Proportional to 36,460 and 80,044

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Solution

The third proportional to 36,460 and 80,044 is: 175,727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,460 : 80,044 = 80,044 : x
  2. Step 2: Convert to fraction form
    36,460/80,044 = 80,044/x
  3. Step 3: Cross multiply
    36,460x = 80,044 × 80,044
  4. Step 4: Simplify right side
    36,460x = 6,407,041,936
  5. Step 5: Solve for x
    x = 6,407,041,936/36,460
  6. Step 6: Final answer
    x = 175,727.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.