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Finding the Third Proportional to 4,930.91 and 10,697.75

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Solution

The third proportional to 4,930.91 and 10,697.75 is: 23,209.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.91 : 10,697.75 = 10,697.75 : x
  2. Step 2: Convert to fraction form
    4,930.91/10,697.75 = 10,697.75/x
  3. Step 3: Cross multiply
    4,930.91x = 10,697.75 × 10,697.75
  4. Step 4: Simplify right side
    4,930.91x = 114,441,855.06
  5. Step 5: Solve for x
    x = 114,441,855.06/4,930.91
  6. Step 6: Final answer
    x = 23,209.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.