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Finding the Third Proportional to 37,966 and 75,886

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Solution

The third proportional to 37,966 and 75,886 is: 151,680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,966 : 75,886 = 75,886 : x
  2. Step 2: Convert to fraction form
    37,966/75,886 = 75,886/x
  3. Step 3: Cross multiply
    37,966x = 75,886 × 75,886
  4. Step 4: Simplify right side
    37,966x = 5,758,684,996
  5. Step 5: Solve for x
    x = 5,758,684,996/37,966
  6. Step 6: Final answer
    x = 151,680.06

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.