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Finding the Third Proportional to 13,683.94 and 28,393.03

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Solution

The third proportional to 13,683.94 and 28,393.03 is: 58,913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.94 : 28,393.03 = 28,393.03 : x
  2. Step 2: Convert to fraction form
    13,683.94/28,393.03 = 28,393.03/x
  3. Step 3: Cross multiply
    13,683.94x = 28,393.03 × 28,393.03
  4. Step 4: Simplify right side
    13,683.94x = 806,164,223.56
  5. Step 5: Solve for x
    x = 806,164,223.56/13,683.94
  6. Step 6: Final answer
    x = 58,913.18

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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.