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Finding the Third Proportional to 13,065.25 and 28,731.75

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Solution

The third proportional to 13,065.25 and 28,731.75 is: 63,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.25 : 28,731.75 = 28,731.75 : x
  2. Step 2: Convert to fraction form
    13,065.25/28,731.75 = 28,731.75/x
  3. Step 3: Cross multiply
    13,065.25x = 28,731.75 × 28,731.75
  4. Step 4: Simplify right side
    13,065.25x = 825,513,458.06
  5. Step 5: Solve for x
    x = 825,513,458.06/13,065.25
  6. Step 6: Final answer
    x = 63,183.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.