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Finding the Third Proportional to 13,642 and 19,993

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Solution

The third proportional to 13,642 and 19,993 is: 29,300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642 : 19,993 = 19,993 : x
  2. Step 2: Convert to fraction form
    13,642/19,993 = 19,993/x
  3. Step 3: Cross multiply
    13,642x = 19,993 × 19,993
  4. Step 4: Simplify right side
    13,642x = 399,720,049
  5. Step 5: Solve for x
    x = 399,720,049/13,642
  6. Step 6: Final answer
    x = 29,300.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.