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Finding the Third Proportional to 13,641.75 and 28,255.50

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Solution

The third proportional to 13,641.75 and 28,255.50 is: 58,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.75 : 28,255.50 = 28,255.50 : x
  2. Step 2: Convert to fraction form
    13,641.75/28,255.50 = 28,255.50/x
  3. Step 3: Cross multiply
    13,641.75x = 28,255.50 × 28,255.50
  4. Step 4: Simplify right side
    13,641.75x = 798,373,280.25
  5. Step 5: Solve for x
    x = 798,373,280.25/13,641.75
  6. Step 6: Final answer
    x = 58,524.26

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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.