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Finding the Third Proportional to 27,989 and 59,137

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Solution

The third proportional to 27,989 and 59,137 is: 124,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,989 : 59,137 = 59,137 : x
  2. Step 2: Convert to fraction form
    27,989/59,137 = 59,137/x
  3. Step 3: Cross multiply
    27,989x = 59,137 × 59,137
  4. Step 4: Simplify right side
    27,989x = 3,497,184,769
  5. Step 5: Solve for x
    x = 3,497,184,769/27,989
  6. Step 6: Final answer
    x = 124,948.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.