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Finding the Third Proportional to 24,969 and 53,823

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Solution

The third proportional to 24,969 and 53,823 is: 116,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,969 : 53,823 = 53,823 : x
  2. Step 2: Convert to fraction form
    24,969/53,823 = 53,823/x
  3. Step 3: Cross multiply
    24,969x = 53,823 × 53,823
  4. Step 4: Simplify right side
    24,969x = 2,896,915,329
  5. Step 5: Solve for x
    x = 2,896,915,329/24,969
  6. Step 6: Final answer
    x = 116,020.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.