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Finding the Third Proportional to 13,982.63 and 21,824.44

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Solution

The third proportional to 13,982.63 and 21,824.44 is: 34,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.63 : 21,824.44 = 21,824.44 : x
  2. Step 2: Convert to fraction form
    13,982.63/21,824.44 = 21,824.44/x
  3. Step 3: Cross multiply
    13,982.63x = 21,824.44 × 21,824.44
  4. Step 4: Simplify right side
    13,982.63x = 476,306,072.19
  5. Step 5: Solve for x
    x = 476,306,072.19/13,982.63
  6. Step 6: Final answer
    x = 34,064.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.