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Finding the Third Proportional to 30,197 and 44,408

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Solution

The third proportional to 30,197 and 44,408 is: 65,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197 : 44,408 = 44,408 : x
  2. Step 2: Convert to fraction form
    30,197/44,408 = 44,408/x
  3. Step 3: Cross multiply
    30,197x = 44,408 × 44,408
  4. Step 4: Simplify right side
    30,197x = 1,972,070,464
  5. Step 5: Solve for x
    x = 1,972,070,464/30,197
  6. Step 6: Final answer
    x = 65,306.83

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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.