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Finding the Third Proportional to 24,797 and 53,968

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Solution

The third proportional to 24,797 and 53,968 is: 117,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,797 : 53,968 = 53,968 : x
  2. Step 2: Convert to fraction form
    24,797/53,968 = 53,968/x
  3. Step 3: Cross multiply
    24,797x = 53,968 × 53,968
  4. Step 4: Simplify right side
    24,797x = 2,912,545,024
  5. Step 5: Solve for x
    x = 2,912,545,024/24,797
  6. Step 6: Final answer
    x = 117,455.54

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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.