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Finding the Third Proportional to 46,944 and 72,992

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Solution

The third proportional to 46,944 and 72,992 is: 113,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,944 : 72,992 = 72,992 : x
  2. Step 2: Convert to fraction form
    46,944/72,992 = 72,992/x
  3. Step 3: Cross multiply
    46,944x = 72,992 × 72,992
  4. Step 4: Simplify right side
    46,944x = 5,327,832,064
  5. Step 5: Solve for x
    x = 5,327,832,064/46,944
  6. Step 6: Final answer
    x = 113,493.36

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