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Finding the Third Proportional to 20,416 and 49,408

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Solution

The third proportional to 20,416 and 49,408 is: 119,570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,416 : 49,408 = 49,408 : x
  2. Step 2: Convert to fraction form
    20,416/49,408 = 49,408/x
  3. Step 3: Cross multiply
    20,416x = 49,408 × 49,408
  4. Step 4: Simplify right side
    20,416x = 2,441,150,464
  5. Step 5: Solve for x
    x = 2,441,150,464/20,416
  6. Step 6: Final answer
    x = 119,570.46

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.