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Finding the Third Proportional to 11,746.31 and 24,464.63

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Solution

The third proportional to 11,746.31 and 24,464.63 is: 50,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.31 : 24,464.63 = 24,464.63 : x
  2. Step 2: Convert to fraction form
    11,746.31/24,464.63 = 24,464.63/x
  3. Step 3: Cross multiply
    11,746.31x = 24,464.63 × 24,464.63
  4. Step 4: Simplify right side
    11,746.31x = 598,517,876.39
  5. Step 5: Solve for x
    x = 598,517,876.39/11,746.31
  6. Step 6: Final answer
    x = 50,953.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.