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Finding the Third Proportional to 9,045 and 18,666

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Solution

The third proportional to 9,045 and 18,666 is: 38,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045 : 18,666 = 18,666 : x
  2. Step 2: Convert to fraction form
    9,045/18,666 = 18,666/x
  3. Step 3: Cross multiply
    9,045x = 18,666 × 18,666
  4. Step 4: Simplify right side
    9,045x = 348,419,556
  5. Step 5: Solve for x
    x = 348,419,556/9,045
  6. Step 6: Final answer
    x = 38,520.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.