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Finding the Third Proportional to 37,956 and 83,031

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Solution

The third proportional to 37,956 and 83,031 is: 181,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,956 : 83,031 = 83,031 : x
  2. Step 2: Convert to fraction form
    37,956/83,031 = 83,031/x
  3. Step 3: Cross multiply
    37,956x = 83,031 × 83,031
  4. Step 4: Simplify right side
    37,956x = 6,894,146,961
  5. Step 5: Solve for x
    x = 6,894,146,961/37,956
  6. Step 6: Final answer
    x = 181,635.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.