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Finding the Third Proportional to 9,031 and 18,783

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Solution

The third proportional to 9,031 and 18,783 is: 39,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031 : 18,783 = 18,783 : x
  2. Step 2: Convert to fraction form
    9,031/18,783 = 18,783/x
  3. Step 3: Cross multiply
    9,031x = 18,783 × 18,783
  4. Step 4: Simplify right side
    9,031x = 352,801,089
  5. Step 5: Solve for x
    x = 352,801,089/9,031
  6. Step 6: Final answer
    x = 39,065.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.