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Finding the Third Proportional to 4,647.80 and 9,062.09

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Solution

The third proportional to 4,647.80 and 9,062.09 is: 17,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.80 : 9,062.09 = 9,062.09 : x
  2. Step 2: Convert to fraction form
    4,647.80/9,062.09 = 9,062.09/x
  3. Step 3: Cross multiply
    4,647.80x = 9,062.09 × 9,062.09
  4. Step 4: Simplify right side
    4,647.80x = 82,121,401.54
  5. Step 5: Solve for x
    x = 82,121,401.54/4,647.80
  6. Step 6: Final answer
    x = 17,668.89

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.