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Finding the Third Proportional to 4,846.88 and 10,467.38

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Solution

The third proportional to 4,846.88 and 10,467.38 is: 22,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.88 : 10,467.38 = 10,467.38 : x
  2. Step 2: Convert to fraction form
    4,846.88/10,467.38 = 10,467.38/x
  3. Step 3: Cross multiply
    4,846.88x = 10,467.38 × 10,467.38
  4. Step 4: Simplify right side
    4,846.88x = 109,565,939.39
  5. Step 5: Solve for x
    x = 109,565,939.39/4,846.88
  6. Step 6: Final answer
    x = 22,605.48

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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.