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Finding the Third Proportional to 19,993 and 43,013

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Solution

The third proportional to 19,993 and 43,013 is: 92,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993 : 43,013 = 43,013 : x
  2. Step 2: Convert to fraction form
    19,993/43,013 = 43,013/x
  3. Step 3: Cross multiply
    19,993x = 43,013 × 43,013
  4. Step 4: Simplify right side
    19,993x = 1,850,118,169
  5. Step 5: Solve for x
    x = 1,850,118,169/19,993
  6. Step 6: Final answer
    x = 92,538.30

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Why These Related Problems?

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