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Finding the Third Proportional to 4,803.19 and 11,625.75

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Solution

The third proportional to 4,803.19 and 11,625.75 is: 28,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.19 : 11,625.75 = 11,625.75 : x
  2. Step 2: Convert to fraction form
    4,803.19/11,625.75 = 11,625.75/x
  3. Step 3: Cross multiply
    4,803.19x = 11,625.75 × 11,625.75
  4. Step 4: Simplify right side
    4,803.19x = 135,158,063.06
  5. Step 5: Solve for x
    x = 135,158,063.06/4,803.19
  6. Step 6: Final answer
    x = 28,139.24

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.