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Finding the Third Proportional to 37,674 and 56,894

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Solution

The third proportional to 37,674 and 56,894 is: 85,919.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,674 : 56,894 = 56,894 : x
  2. Step 2: Convert to fraction form
    37,674/56,894 = 56,894/x
  3. Step 3: Cross multiply
    37,674x = 56,894 × 56,894
  4. Step 4: Simplify right side
    37,674x = 3,236,927,236
  5. Step 5: Solve for x
    x = 3,236,927,236/37,674
  6. Step 6: Final answer
    x = 85,919.39

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