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Finding the Third Proportional to 11,805.75 and 17,835.75

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Solution

The third proportional to 11,805.75 and 17,835.75 is: 26,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.75 : 17,835.75 = 17,835.75 : x
  2. Step 2: Convert to fraction form
    11,805.75/17,835.75 = 17,835.75/x
  3. Step 3: Cross multiply
    11,805.75x = 17,835.75 × 17,835.75
  4. Step 4: Simplify right side
    11,805.75x = 318,113,978.06
  5. Step 5: Solve for x
    x = 318,113,978.06/11,805.75
  6. Step 6: Final answer
    x = 26,945.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.