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Finding the Third Proportional to 31,194 and 48,483

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Solution

The third proportional to 31,194 and 48,483 is: 75,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194 : 48,483 = 48,483 : x
  2. Step 2: Convert to fraction form
    31,194/48,483 = 48,483/x
  3. Step 3: Cross multiply
    31,194x = 48,483 × 48,483
  4. Step 4: Simplify right side
    31,194x = 2,350,601,289
  5. Step 5: Solve for x
    x = 2,350,601,289/31,194
  6. Step 6: Final answer
    x = 75,354.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.