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Finding the Third Proportional to 37,658 and 49,994

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Solution

The third proportional to 37,658 and 49,994 is: 66,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,658 : 49,994 = 49,994 : x
  2. Step 2: Convert to fraction form
    37,658/49,994 = 49,994/x
  3. Step 3: Cross multiply
    37,658x = 49,994 × 49,994
  4. Step 4: Simplify right side
    37,658x = 2,499,400,036
  5. Step 5: Solve for x
    x = 2,499,400,036/37,658
  6. Step 6: Final answer
    x = 66,371.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.