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Finding the Third Proportional to 12,766.36 and 28,052.16

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Solution

The third proportional to 12,766.36 and 28,052.16 is: 61,640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.36 : 28,052.16 = 28,052.16 : x
  2. Step 2: Convert to fraction form
    12,766.36/28,052.16 = 28,052.16/x
  3. Step 3: Cross multiply
    12,766.36x = 28,052.16 × 28,052.16
  4. Step 4: Simplify right side
    12,766.36x = 786,923,470.27
  5. Step 5: Solve for x
    x = 786,923,470.27/12,766.36
  6. Step 6: Final answer
    x = 61,640.40

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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.