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Finding the Third Proportional to 31,493 and 48,324

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Solution

The third proportional to 31,493 and 48,324 is: 74,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493 : 48,324 = 48,324 : x
  2. Step 2: Convert to fraction form
    31,493/48,324 = 48,324/x
  3. Step 3: Cross multiply
    31,493x = 48,324 × 48,324
  4. Step 4: Simplify right side
    31,493x = 2,335,208,976
  5. Step 5: Solve for x
    x = 2,335,208,976/31,493
  6. Step 6: Final answer
    x = 74,150.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.