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Finding the Third Proportional to 38,974.50 and 55,734.75

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Solution

The third proportional to 38,974.50 and 55,734.75 is: 79,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,974.50 : 55,734.75 = 55,734.75 : x
  2. Step 2: Convert to fraction form
    38,974.50/55,734.75 = 55,734.75/x
  3. Step 3: Cross multiply
    38,974.50x = 55,734.75 × 55,734.75
  4. Step 4: Simplify right side
    38,974.50x = 3,106,362,357.56
  5. Step 5: Solve for x
    x = 3,106,362,357.56/38,974.50
  6. Step 6: Final answer
    x = 79,702.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.