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Finding the Third Proportional to 27,974.95 and 57,242.39

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Solution

The third proportional to 27,974.95 and 57,242.39 is: 117,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,974.95 : 57,242.39 = 57,242.39 : x
  2. Step 2: Convert to fraction form
    27,974.95/57,242.39 = 57,242.39/x
  3. Step 3: Cross multiply
    27,974.95x = 57,242.39 × 57,242.39
  4. Step 4: Simplify right side
    27,974.95x = 3,276,691,284.47
  5. Step 5: Solve for x
    x = 3,276,691,284.47/27,974.95
  6. Step 6: Final answer
    x = 117,129.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.