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Finding the Third Proportional to 15,084.75 and 23,016.75

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Solution

The third proportional to 15,084.75 and 23,016.75 is: 35,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,084.75 : 23,016.75 = 23,016.75 : x
  2. Step 2: Convert to fraction form
    15,084.75/23,016.75 = 23,016.75/x
  3. Step 3: Cross multiply
    15,084.75x = 23,016.75 × 23,016.75
  4. Step 4: Simplify right side
    15,084.75x = 529,770,780.56
  5. Step 5: Solve for x
    x = 529,770,780.56/15,084.75
  6. Step 6: Final answer
    x = 35,119.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.