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Finding the Third Proportional to 4,946.38 and 11,443.31

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Solution

The third proportional to 4,946.38 and 11,443.31 is: 26,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.38 : 11,443.31 = 11,443.31 : x
  2. Step 2: Convert to fraction form
    4,946.38/11,443.31 = 11,443.31/x
  3. Step 3: Cross multiply
    4,946.38x = 11,443.31 × 11,443.31
  4. Step 4: Simplify right side
    4,946.38x = 130,949,266.87
  5. Step 5: Solve for x
    x = 130,949,266.87/4,946.38
  6. Step 6: Final answer
    x = 26,473.76

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.