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Finding the Third Proportional to 23,179.25 and 50,732.50

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Solution

The third proportional to 23,179.25 and 50,732.50 is: 111,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,179.25 : 50,732.50 = 50,732.50 : x
  2. Step 2: Convert to fraction form
    23,179.25/50,732.50 = 50,732.50/x
  3. Step 3: Cross multiply
    23,179.25x = 50,732.50 × 50,732.50
  4. Step 4: Simplify right side
    23,179.25x = 2,573,786,556.25
  5. Step 5: Solve for x
    x = 2,573,786,556.25/23,179.25
  6. Step 6: Final answer
    x = 111,038.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.