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Finding the Third Proportional to 38,031 and 84,807

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Solution

The third proportional to 38,031 and 84,807 is: 189,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,031 : 84,807 = 84,807 : x
  2. Step 2: Convert to fraction form
    38,031/84,807 = 84,807/x
  3. Step 3: Cross multiply
    38,031x = 84,807 × 84,807
  4. Step 4: Simplify right side
    38,031x = 7,192,227,249
  5. Step 5: Solve for x
    x = 7,192,227,249/38,031
  6. Step 6: Final answer
    x = 189,114.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.