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Finding the Third Proportional to 13,878.84 and 18,813.09

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Solution

The third proportional to 13,878.84 and 18,813.09 is: 25,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.84 : 18,813.09 = 18,813.09 : x
  2. Step 2: Convert to fraction form
    13,878.84/18,813.09 = 18,813.09/x
  3. Step 3: Cross multiply
    13,878.84x = 18,813.09 × 18,813.09
  4. Step 4: Simplify right side
    13,878.84x = 353,932,496.45
  5. Step 5: Solve for x
    x = 353,932,496.45/13,878.84
  6. Step 6: Final answer
    x = 25,501.58

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.