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Finding the Third Proportional to 24,823 and 54,019

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Solution

The third proportional to 24,823 and 54,019 is: 117,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,823 : 54,019 = 54,019 : x
  2. Step 2: Convert to fraction form
    24,823/54,019 = 54,019/x
  3. Step 3: Cross multiply
    24,823x = 54,019 × 54,019
  4. Step 4: Simplify right side
    24,823x = 2,918,052,361
  5. Step 5: Solve for x
    x = 2,918,052,361/24,823
  6. Step 6: Final answer
    x = 117,554.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.