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Finding the Third Proportional to 36,994 and 56,922

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Solution

The third proportional to 36,994 and 56,922 is: 87,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,994 : 56,922 = 56,922 : x
  2. Step 2: Convert to fraction form
    36,994/56,922 = 56,922/x
  3. Step 3: Cross multiply
    36,994x = 56,922 × 56,922
  4. Step 4: Simplify right side
    36,994x = 3,240,114,084
  5. Step 5: Solve for x
    x = 3,240,114,084/36,994
  6. Step 6: Final answer
    x = 87,584.85

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.