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Finding the Third Proportional to 24,482 and 50,413

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Solution

The third proportional to 24,482 and 50,413 is: 103,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,482 : 50,413 = 50,413 : x
  2. Step 2: Convert to fraction form
    24,482/50,413 = 50,413/x
  3. Step 3: Cross multiply
    24,482x = 50,413 × 50,413
  4. Step 4: Simplify right side
    24,482x = 2,541,470,569
  5. Step 5: Solve for x
    x = 2,541,470,569/24,482
  6. Step 6: Final answer
    x = 103,809.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.