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Finding the Third Proportional to 14,974 and 32,404

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Solution

The third proportional to 14,974 and 32,404 is: 70,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974 : 32,404 = 32,404 : x
  2. Step 2: Convert to fraction form
    14,974/32,404 = 32,404/x
  3. Step 3: Cross multiply
    14,974x = 32,404 × 32,404
  4. Step 4: Simplify right side
    14,974x = 1,050,019,216
  5. Step 5: Solve for x
    x = 1,050,019,216/14,974
  6. Step 6: Final answer
    x = 70,122.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.