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Finding the Third Proportional to 13,683.09 and 29,476.41

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Solution

The third proportional to 13,683.09 and 29,476.41 is: 63,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.09 : 29,476.41 = 29,476.41 : x
  2. Step 2: Convert to fraction form
    13,683.09/29,476.41 = 29,476.41/x
  3. Step 3: Cross multiply
    13,683.09x = 29,476.41 × 29,476.41
  4. Step 4: Simplify right side
    13,683.09x = 868,858,525.42
  5. Step 5: Solve for x
    x = 868,858,525.42/13,683.09
  6. Step 6: Final answer
    x = 63,498.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.