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Finding the Third Proportional to 12,840.75 and 17,331.75

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Solution

The third proportional to 12,840.75 and 17,331.75 is: 23,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.75 : 17,331.75 = 17,331.75 : x
  2. Step 2: Convert to fraction form
    12,840.75/17,331.75 = 17,331.75/x
  3. Step 3: Cross multiply
    12,840.75x = 17,331.75 × 17,331.75
  4. Step 4: Simplify right side
    12,840.75x = 300,389,558.06
  5. Step 5: Solve for x
    x = 300,389,558.06/12,840.75
  6. Step 6: Final answer
    x = 23,393.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.