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Finding the Third Proportional to 37,937 and 82,881

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Solution

The third proportional to 37,937 and 82,881 is: 181,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,937 : 82,881 = 82,881 : x
  2. Step 2: Convert to fraction form
    37,937/82,881 = 82,881/x
  3. Step 3: Cross multiply
    37,937x = 82,881 × 82,881
  4. Step 4: Simplify right side
    37,937x = 6,869,260,161
  5. Step 5: Solve for x
    x = 6,869,260,161/37,937
  6. Step 6: Final answer
    x = 181,070.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.