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Finding the Third Proportional to 26,048 and 57,064

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Solution

The third proportional to 26,048 and 57,064 is: 125,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,048 : 57,064 = 57,064 : x
  2. Step 2: Convert to fraction form
    26,048/57,064 = 57,064/x
  3. Step 3: Cross multiply
    26,048x = 57,064 × 57,064
  4. Step 4: Simplify right side
    26,048x = 3,256,300,096
  5. Step 5: Solve for x
    x = 3,256,300,096/26,048
  6. Step 6: Final answer
    x = 125,011.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.