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Finding the Third Proportional to 20,408 and 44,952

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Solution

The third proportional to 20,408 and 44,952 is: 99,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408 : 44,952 = 44,952 : x
  2. Step 2: Convert to fraction form
    20,408/44,952 = 44,952/x
  3. Step 3: Cross multiply
    20,408x = 44,952 × 44,952
  4. Step 4: Simplify right side
    20,408x = 2,020,682,304
  5. Step 5: Solve for x
    x = 2,020,682,304/20,408
  6. Step 6: Final answer
    x = 99,014.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.