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Finding the Third Proportional to 46,992 and 72,873.75

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Solution

The third proportional to 46,992 and 72,873.75 is: 113,010.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,992 : 72,873.75 = 72,873.75 : x
  2. Step 2: Convert to fraction form
    46,992/72,873.75 = 72,873.75/x
  3. Step 3: Cross multiply
    46,992x = 72,873.75 × 72,873.75
  4. Step 4: Simplify right side
    46,992x = 5,310,583,439.06
  5. Step 5: Solve for x
    x = 5,310,583,439.06/46,992
  6. Step 6: Final answer
    x = 113,010.37

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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.