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Finding the Third Proportional to 24,844 and 54,056

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Solution

The third proportional to 24,844 and 54,056 is: 117,615.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,844 : 54,056 = 54,056 : x
  2. Step 2: Convert to fraction form
    24,844/54,056 = 54,056/x
  3. Step 3: Cross multiply
    24,844x = 54,056 × 54,056
  4. Step 4: Simplify right side
    24,844x = 2,922,051,136
  5. Step 5: Solve for x
    x = 2,922,051,136/24,844
  6. Step 6: Final answer
    x = 117,615.97

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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.