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Finding the Third Proportional to 13,886.44 and 21,540.94

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Solution

The third proportional to 13,886.44 and 21,540.94 is: 33,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.44 : 21,540.94 = 21,540.94 : x
  2. Step 2: Convert to fraction form
    13,886.44/21,540.94 = 21,540.94/x
  3. Step 3: Cross multiply
    13,886.44x = 21,540.94 × 21,540.94
  4. Step 4: Simplify right side
    13,886.44x = 464,011,988.38
  5. Step 5: Solve for x
    x = 464,011,988.38/13,886.44
  6. Step 6: Final answer
    x = 33,414.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.