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Finding the Third Proportional to 23,944 and 51,146

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Solution

The third proportional to 23,944 and 51,146 is: 109,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,944 : 51,146 = 51,146 : x
  2. Step 2: Convert to fraction form
    23,944/51,146 = 51,146/x
  3. Step 3: Cross multiply
    23,944x = 51,146 × 51,146
  4. Step 4: Simplify right side
    23,944x = 2,615,913,316
  5. Step 5: Solve for x
    x = 2,615,913,316/23,944
  6. Step 6: Final answer
    x = 109,251.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.