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Finding the Third Proportional to 13,683.94 and 19,265.34

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Solution

The third proportional to 13,683.94 and 19,265.34 is: 27,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.94 : 19,265.34 = 19,265.34 : x
  2. Step 2: Convert to fraction form
    13,683.94/19,265.34 = 19,265.34/x
  3. Step 3: Cross multiply
    13,683.94x = 19,265.34 × 19,265.34
  4. Step 4: Simplify right side
    13,683.94x = 371,153,469.81
  5. Step 5: Solve for x
    x = 371,153,469.81/13,683.94
  6. Step 6: Final answer
    x = 27,123.29

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.