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Finding the Third Proportional to 27,846 and 40,232

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Solution

The third proportional to 27,846 and 40,232 is: 58,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846 : 40,232 = 40,232 : x
  2. Step 2: Convert to fraction form
    27,846/40,232 = 40,232/x
  3. Step 3: Cross multiply
    27,846x = 40,232 × 40,232
  4. Step 4: Simplify right side
    27,846x = 1,618,613,824
  5. Step 5: Solve for x
    x = 1,618,613,824/27,846
  6. Step 6: Final answer
    x = 58,127.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.