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Finding the Third Proportional to 4,698.38 and 10,206.75

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Solution

The third proportional to 4,698.38 and 10,206.75 is: 22,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.38 : 10,206.75 = 10,206.75 : x
  2. Step 2: Convert to fraction form
    4,698.38/10,206.75 = 10,206.75/x
  3. Step 3: Cross multiply
    4,698.38x = 10,206.75 × 10,206.75
  4. Step 4: Simplify right side
    4,698.38x = 104,177,745.56
  5. Step 5: Solve for x
    x = 104,177,745.56/4,698.38
  6. Step 6: Final answer
    x = 22,173.14

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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.