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Finding the Third Proportional to 11,971 and 27,959.50

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Solution

The third proportional to 11,971 and 27,959.50 is: 65,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971 : 27,959.50 = 27,959.50 : x
  2. Step 2: Convert to fraction form
    11,971/27,959.50 = 27,959.50/x
  3. Step 3: Cross multiply
    11,971x = 27,959.50 × 27,959.50
  4. Step 4: Simplify right side
    11,971x = 781,733,640.25
  5. Step 5: Solve for x
    x = 781,733,640.25/11,971
  6. Step 6: Final answer
    x = 65,302.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.