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Finding the Third Proportional to 47,993 and 76,677

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Solution

The third proportional to 47,993 and 76,677 is: 122,504.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,993 : 76,677 = 76,677 : x
  2. Step 2: Convert to fraction form
    47,993/76,677 = 76,677/x
  3. Step 3: Cross multiply
    47,993x = 76,677 × 76,677
  4. Step 4: Simplify right side
    47,993x = 5,879,362,329
  5. Step 5: Solve for x
    x = 5,879,362,329/47,993
  6. Step 6: Final answer
    x = 122,504.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.