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Finding the Third Proportional to 4,825.97 and 10,416.38

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Solution

The third proportional to 4,825.97 and 10,416.38 is: 22,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.97 : 10,416.38 = 10,416.38 : x
  2. Step 2: Convert to fraction form
    4,825.97/10,416.38 = 10,416.38/x
  3. Step 3: Cross multiply
    4,825.97x = 10,416.38 × 10,416.38
  4. Step 4: Simplify right side
    4,825.97x = 108,500,868.14
  5. Step 5: Solve for x
    x = 108,500,868.14/4,825.97
  6. Step 6: Final answer
    x = 22,482.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.