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Finding the Third Proportional to 30,198 and 44,409.50

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Solution

The third proportional to 30,198 and 44,409.50 is: 65,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198 : 44,409.50 = 44,409.50 : x
  2. Step 2: Convert to fraction form
    30,198/44,409.50 = 44,409.50/x
  3. Step 3: Cross multiply
    30,198x = 44,409.50 × 44,409.50
  4. Step 4: Simplify right side
    30,198x = 1,972,203,690.25
  5. Step 5: Solve for x
    x = 1,972,203,690.25/30,198
  6. Step 6: Final answer
    x = 65,309.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.