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Finding the Third Proportional to 13,683.94 and 20,625.19

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Solution

The third proportional to 13,683.94 and 20,625.19 is: 31,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.94 : 20,625.19 = 20,625.19 : x
  2. Step 2: Convert to fraction form
    13,683.94/20,625.19 = 20,625.19/x
  3. Step 3: Cross multiply
    13,683.94x = 20,625.19 × 20,625.19
  4. Step 4: Simplify right side
    13,683.94x = 425,398,359.41
  5. Step 5: Solve for x
    x = 425,398,359.41/13,683.94
  6. Step 6: Final answer
    x = 31,087.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.