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Finding the Third Proportional to 23,971.50 and 51,993

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Solution

The third proportional to 23,971.50 and 51,993 is: 112,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,971.50 : 51,993 = 51,993 : x
  2. Step 2: Convert to fraction form
    23,971.50/51,993 = 51,993/x
  3. Step 3: Cross multiply
    23,971.50x = 51,993 × 51,993
  4. Step 4: Simplify right side
    23,971.50x = 2,703,272,049
  5. Step 5: Solve for x
    x = 2,703,272,049/23,971.50
  6. Step 6: Final answer
    x = 112,770.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.