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Finding the Third Proportional to 27,989 and 60,845

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Solution

The third proportional to 27,989 and 60,845 is: 132,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,989 : 60,845 = 60,845 : x
  2. Step 2: Convert to fraction form
    27,989/60,845 = 60,845/x
  3. Step 3: Cross multiply
    27,989x = 60,845 × 60,845
  4. Step 4: Simplify right side
    27,989x = 3,702,114,025
  5. Step 5: Solve for x
    x = 3,702,114,025/27,989
  6. Step 6: Final answer
    x = 132,270.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.