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Finding the Third Proportional to 18,823 and 24,988

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Solution

The third proportional to 18,823 and 24,988 is: 33,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,823 : 24,988 = 24,988 : x
  2. Step 2: Convert to fraction form
    18,823/24,988 = 24,988/x
  3. Step 3: Cross multiply
    18,823x = 24,988 × 24,988
  4. Step 4: Simplify right side
    18,823x = 624,400,144
  5. Step 5: Solve for x
    x = 624,400,144/18,823
  6. Step 6: Final answer
    x = 33,172.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.