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Finding the Third Proportional to 27,908 and 61,064

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Solution

The third proportional to 27,908 and 61,064 is: 133,610.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,908 : 61,064 = 61,064 : x
  2. Step 2: Convert to fraction form
    27,908/61,064 = 61,064/x
  3. Step 3: Cross multiply
    27,908x = 61,064 × 61,064
  4. Step 4: Simplify right side
    27,908x = 3,728,812,096
  5. Step 5: Solve for x
    x = 3,728,812,096/27,908
  6. Step 6: Final answer
    x = 133,610.87

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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.