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Finding the Third Proportional to 4,995.84 and 10,846.41

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Solution

The third proportional to 4,995.84 and 10,846.41 is: 23,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995.84 : 10,846.41 = 10,846.41 : x
  2. Step 2: Convert to fraction form
    4,995.84/10,846.41 = 10,846.41/x
  3. Step 3: Cross multiply
    4,995.84x = 10,846.41 × 10,846.41
  4. Step 4: Simplify right side
    4,995.84x = 117,644,528.54
  5. Step 5: Solve for x
    x = 117,644,528.54/4,995.84
  6. Step 6: Final answer
    x = 23,548.48

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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.