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Finding the Third Proportional to 46,398 and 72,027

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Solution

The third proportional to 46,398 and 72,027 is: 111,812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,398 : 72,027 = 72,027 : x
  2. Step 2: Convert to fraction form
    46,398/72,027 = 72,027/x
  3. Step 3: Cross multiply
    46,398x = 72,027 × 72,027
  4. Step 4: Simplify right side
    46,398x = 5,187,888,729
  5. Step 5: Solve for x
    x = 5,187,888,729/46,398
  6. Step 6: Final answer
    x = 111,812.77

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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.