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Finding the Third Proportional to 23,604.75 and 48,393.75

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Solution

The third proportional to 23,604.75 and 48,393.75 is: 99,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,604.75 : 48,393.75 = 48,393.75 : x
  2. Step 2: Convert to fraction form
    23,604.75/48,393.75 = 48,393.75/x
  3. Step 3: Cross multiply
    23,604.75x = 48,393.75 × 48,393.75
  4. Step 4: Simplify right side
    23,604.75x = 2,341,955,039.06
  5. Step 5: Solve for x
    x = 2,341,955,039.06/23,604.75
  6. Step 6: Final answer
    x = 99,215.41

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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.