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Finding the Third Proportional to 27,945 and 59,889

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Solution

The third proportional to 27,945 and 59,889 is: 128,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,945 : 59,889 = 59,889 : x
  2. Step 2: Convert to fraction form
    27,945/59,889 = 59,889/x
  3. Step 3: Cross multiply
    27,945x = 59,889 × 59,889
  4. Step 4: Simplify right side
    27,945x = 3,586,692,321
  5. Step 5: Solve for x
    x = 3,586,692,321/27,945
  6. Step 6: Final answer
    x = 128,348.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.