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Finding the Third Proportional to 24,256 and 51,056

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Solution

The third proportional to 24,256 and 51,056 is: 107,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,256 : 51,056 = 51,056 : x
  2. Step 2: Convert to fraction form
    24,256/51,056 = 51,056/x
  3. Step 3: Cross multiply
    24,256x = 51,056 × 51,056
  4. Step 4: Simplify right side
    24,256x = 2,606,715,136
  5. Step 5: Solve for x
    x = 2,606,715,136/24,256
  6. Step 6: Final answer
    x = 107,466.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.