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Finding the Third Proportional to 13,368 and 30,976

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Solution

The third proportional to 13,368 and 30,976 is: 71,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,368 : 30,976 = 30,976 : x
  2. Step 2: Convert to fraction form
    13,368/30,976 = 30,976/x
  3. Step 3: Cross multiply
    13,368x = 30,976 × 30,976
  4. Step 4: Simplify right side
    13,368x = 959,512,576
  5. Step 5: Solve for x
    x = 959,512,576/13,368
  6. Step 6: Final answer
    x = 71,776.82

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.