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Finding the Third Proportional to 13,977.56 and 28,896.75

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Solution

The third proportional to 13,977.56 and 28,896.75 is: 59,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.56 : 28,896.75 = 28,896.75 : x
  2. Step 2: Convert to fraction form
    13,977.56/28,896.75 = 28,896.75/x
  3. Step 3: Cross multiply
    13,977.56x = 28,896.75 × 28,896.75
  4. Step 4: Simplify right side
    13,977.56x = 835,022,160.56
  5. Step 5: Solve for x
    x = 835,022,160.56/13,977.56
  6. Step 6: Final answer
    x = 59,740.18

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.