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Finding the Third Proportional to 26,972 and 55,015

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Solution

The third proportional to 26,972 and 55,015 is: 112,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,972 : 55,015 = 55,015 : x
  2. Step 2: Convert to fraction form
    26,972/55,015 = 55,015/x
  3. Step 3: Cross multiply
    26,972x = 55,015 × 55,015
  4. Step 4: Simplify right side
    26,972x = 3,026,650,225
  5. Step 5: Solve for x
    x = 3,026,650,225/26,972
  6. Step 6: Final answer
    x = 112,214.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.