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Finding the Third Proportional to 30,198 and 44,409

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Solution

The third proportional to 30,198 and 44,409 is: 65,307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198 : 44,409 = 44,409 : x
  2. Step 2: Convert to fraction form
    30,198/44,409 = 44,409/x
  3. Step 3: Cross multiply
    30,198x = 44,409 × 44,409
  4. Step 4: Simplify right side
    30,198x = 1,972,159,281
  5. Step 5: Solve for x
    x = 1,972,159,281/30,198
  6. Step 6: Final answer
    x = 65,307.61

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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.