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Finding the Third Proportional to 9,501 and 21,993

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Solution

The third proportional to 9,501 and 21,993 is: 50,909.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501 : 21,993 = 21,993 : x
  2. Step 2: Convert to fraction form
    9,501/21,993 = 21,993/x
  3. Step 3: Cross multiply
    9,501x = 21,993 × 21,993
  4. Step 4: Simplify right side
    9,501x = 483,692,049
  5. Step 5: Solve for x
    x = 483,692,049/9,501
  6. Step 6: Final answer
    x = 50,909.59

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.