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Finding the Third Proportional to 27,783 and 41,912.44

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Solution

The third proportional to 27,783 and 41,912.44 is: 63,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783 : 41,912.44 = 41,912.44 : x
  2. Step 2: Convert to fraction form
    27,783/41,912.44 = 41,912.44/x
  3. Step 3: Cross multiply
    27,783x = 41,912.44 × 41,912.44
  4. Step 4: Simplify right side
    27,783x = 1,756,652,417.19
  5. Step 5: Solve for x
    x = 1,756,652,417.19/27,783
  6. Step 6: Final answer
    x = 63,227.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.