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Finding the Third Proportional to 23,856.75 and 35,055.75

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Solution

The third proportional to 23,856.75 and 35,055.75 is: 51,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856.75 : 35,055.75 = 35,055.75 : x
  2. Step 2: Convert to fraction form
    23,856.75/35,055.75 = 35,055.75/x
  3. Step 3: Cross multiply
    23,856.75x = 35,055.75 × 35,055.75
  4. Step 4: Simplify right side
    23,856.75x = 1,228,905,608.06
  5. Step 5: Solve for x
    x = 1,228,905,608.06/23,856.75
  6. Step 6: Final answer
    x = 51,511.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.