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Finding the Third Proportional to 13,671.75 and 28,968.56

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Solution

The third proportional to 13,671.75 and 28,968.56 is: 61,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.75 : 28,968.56 = 28,968.56 : x
  2. Step 2: Convert to fraction form
    13,671.75/28,968.56 = 28,968.56/x
  3. Step 3: Cross multiply
    13,671.75x = 28,968.56 × 28,968.56
  4. Step 4: Simplify right side
    13,671.75x = 839,177,613.32
  5. Step 5: Solve for x
    x = 839,177,613.32/13,671.75
  6. Step 6: Final answer
    x = 61,380.41

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.