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Finding the Third Proportional to 4,634.72 and 9,849.09

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Solution

The third proportional to 4,634.72 and 9,849.09 is: 20,930.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.72 : 9,849.09 = 9,849.09 : x
  2. Step 2: Convert to fraction form
    4,634.72/9,849.09 = 9,849.09/x
  3. Step 3: Cross multiply
    4,634.72x = 9,849.09 × 9,849.09
  4. Step 4: Simplify right side
    4,634.72x = 97,004,647.70
  5. Step 5: Solve for x
    x = 97,004,647.70/4,634.72
  6. Step 6: Final answer
    x = 20,930.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.