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Finding the Third Proportional to 27,844 and 60,064

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Solution

The third proportional to 27,844 and 60,064 is: 129,567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844 : 60,064 = 60,064 : x
  2. Step 2: Convert to fraction form
    27,844/60,064 = 60,064/x
  3. Step 3: Cross multiply
    27,844x = 60,064 × 60,064
  4. Step 4: Simplify right side
    27,844x = 3,607,684,096
  5. Step 5: Solve for x
    x = 3,607,684,096/27,844
  6. Step 6: Final answer
    x = 129,567.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.