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Finding the Third Proportional to 37,740 and 82,944

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Solution

The third proportional to 37,740 and 82,944 is: 182,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,740 : 82,944 = 82,944 : x
  2. Step 2: Convert to fraction form
    37,740/82,944 = 82,944/x
  3. Step 3: Cross multiply
    37,740x = 82,944 × 82,944
  4. Step 4: Simplify right side
    37,740x = 6,879,707,136
  5. Step 5: Solve for x
    x = 6,879,707,136/37,740
  6. Step 6: Final answer
    x = 182,292.19

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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.