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Finding the Third Proportional to 11,301.75 and 12,944.25

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Solution

The third proportional to 11,301.75 and 12,944.25 is: 14,825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.75 : 12,944.25 = 12,944.25 : x
  2. Step 2: Convert to fraction form
    11,301.75/12,944.25 = 12,944.25/x
  3. Step 3: Cross multiply
    11,301.75x = 12,944.25 × 12,944.25
  4. Step 4: Simplify right side
    11,301.75x = 167,553,608.06
  5. Step 5: Solve for x
    x = 167,553,608.06/11,301.75
  6. Step 6: Final answer
    x = 14,825.46

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.