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Finding the Third Proportional to 4,794.69 and 10,255.69

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Solution

The third proportional to 4,794.69 and 10,255.69 is: 21,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,794.69 : 10,255.69 = 10,255.69 : x
  2. Step 2: Convert to fraction form
    4,794.69/10,255.69 = 10,255.69/x
  3. Step 3: Cross multiply
    4,794.69x = 10,255.69 × 10,255.69
  4. Step 4: Simplify right side
    4,794.69x = 105,179,126.10
  5. Step 5: Solve for x
    x = 105,179,126.10/4,794.69
  6. Step 6: Final answer
    x = 21,936.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.