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Finding the Third Proportional to 26,982 and 55,034.25

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Solution

The third proportional to 26,982 and 55,034.25 is: 112,251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,982 : 55,034.25 = 55,034.25 : x
  2. Step 2: Convert to fraction form
    26,982/55,034.25 = 55,034.25/x
  3. Step 3: Cross multiply
    26,982x = 55,034.25 × 55,034.25
  4. Step 4: Simplify right side
    26,982x = 3,028,768,673.06
  5. Step 5: Solve for x
    x = 3,028,768,673.06/26,982
  6. Step 6: Final answer
    x = 112,251.45

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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.