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Finding the Third Proportional to 46,023 and 94,983

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Solution

The third proportional to 46,023 and 94,983 is: 196,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,023 : 94,983 = 94,983 : x
  2. Step 2: Convert to fraction form
    46,023/94,983 = 94,983/x
  3. Step 3: Cross multiply
    46,023x = 94,983 × 94,983
  4. Step 4: Simplify right side
    46,023x = 9,021,770,289
  5. Step 5: Solve for x
    x = 9,021,770,289/46,023
  6. Step 6: Final answer
    x = 196,027.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.