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Finding the Third Proportional to 46,793 and 72,728

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Solution

The third proportional to 46,793 and 72,728 is: 113,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,793 : 72,728 = 72,728 : x
  2. Step 2: Convert to fraction form
    46,793/72,728 = 72,728/x
  3. Step 3: Cross multiply
    46,793x = 72,728 × 72,728
  4. Step 4: Simplify right side
    46,793x = 5,289,361,984
  5. Step 5: Solve for x
    x = 5,289,361,984/46,793
  6. Step 6: Final answer
    x = 113,037.46

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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.