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Finding the Third Proportional to 19,810 and 43,993

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Solution

The third proportional to 19,810 and 43,993 is: 97,697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810 : 43,993 = 43,993 : x
  2. Step 2: Convert to fraction form
    19,810/43,993 = 43,993/x
  3. Step 3: Cross multiply
    19,810x = 43,993 × 43,993
  4. Step 4: Simplify right side
    19,810x = 1,935,384,049
  5. Step 5: Solve for x
    x = 1,935,384,049/19,810
  6. Step 6: Final answer
    x = 97,697.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.