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Finding the Third Proportional to 23,107.50 and 47,309.44

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Solution

The third proportional to 23,107.50 and 47,309.44 is: 96,859.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.50 : 47,309.44 = 47,309.44 : x
  2. Step 2: Convert to fraction form
    23,107.50/47,309.44 = 47,309.44/x
  3. Step 3: Cross multiply
    23,107.50x = 47,309.44 × 47,309.44
  4. Step 4: Simplify right side
    23,107.50x = 2,238,182,876.57
  5. Step 5: Solve for x
    x = 2,238,182,876.57/23,107.50
  6. Step 6: Final answer
    x = 96,859.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.