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Finding the Third Proportional to 27,886 and 40,899

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Solution

The third proportional to 27,886 and 40,899 is: 59,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,886 : 40,899 = 40,899 : x
  2. Step 2: Convert to fraction form
    27,886/40,899 = 40,899/x
  3. Step 3: Cross multiply
    27,886x = 40,899 × 40,899
  4. Step 4: Simplify right side
    27,886x = 1,672,728,201
  5. Step 5: Solve for x
    x = 1,672,728,201/27,886
  6. Step 6: Final answer
    x = 59,984.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.