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Finding the Third Proportional to 26,738 and 57,056

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Solution

The third proportional to 26,738 and 57,056 is: 121,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,738 : 57,056 = 57,056 : x
  2. Step 2: Convert to fraction form
    26,738/57,056 = 57,056/x
  3. Step 3: Cross multiply
    26,738x = 57,056 × 57,056
  4. Step 4: Simplify right side
    26,738x = 3,255,387,136
  5. Step 5: Solve for x
    x = 3,255,387,136/26,738
  6. Step 6: Final answer
    x = 121,751.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.