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Finding the Third Proportional to 19,618 and 44,821

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Solution

The third proportional to 19,618 and 44,821 is: 102,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,618 : 44,821 = 44,821 : x
  2. Step 2: Convert to fraction form
    19,618/44,821 = 44,821/x
  3. Step 3: Cross multiply
    19,618x = 44,821 × 44,821
  4. Step 4: Simplify right side
    19,618x = 2,008,922,041
  5. Step 5: Solve for x
    x = 2,008,922,041/19,618
  6. Step 6: Final answer
    x = 102,401.98

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.