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Finding the Third Proportional to 31,790 and 48,094

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Solution

The third proportional to 31,790 and 48,094 is: 72,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,790 : 48,094 = 48,094 : x
  2. Step 2: Convert to fraction form
    31,790/48,094 = 48,094/x
  3. Step 3: Cross multiply
    31,790x = 48,094 × 48,094
  4. Step 4: Simplify right side
    31,790x = 2,313,032,836
  5. Step 5: Solve for x
    x = 2,313,032,836/31,790
  6. Step 6: Final answer
    x = 72,759.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.