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Finding the Third Proportional to 37,630 and 80,444

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Solution

The third proportional to 37,630 and 80,444 is: 171,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,630 : 80,444 = 80,444 : x
  2. Step 2: Convert to fraction form
    37,630/80,444 = 80,444/x
  3. Step 3: Cross multiply
    37,630x = 80,444 × 80,444
  4. Step 4: Simplify right side
    37,630x = 6,471,237,136
  5. Step 5: Solve for x
    x = 6,471,237,136/37,630
  6. Step 6: Final answer
    x = 171,970.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.