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Finding the Third Proportional to 13,068 and 16,974

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Solution

The third proportional to 13,068 and 16,974 is: 22,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,068 : 16,974 = 16,974 : x
  2. Step 2: Convert to fraction form
    13,068/16,974 = 16,974/x
  3. Step 3: Cross multiply
    13,068x = 16,974 × 16,974
  4. Step 4: Simplify right side
    13,068x = 288,116,676
  5. Step 5: Solve for x
    x = 288,116,676/13,068
  6. Step 6: Final answer
    x = 22,047.50

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.