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Finding the Third Proportional to 5,235.75 and 12,350.06

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Solution

The third proportional to 5,235.75 and 12,350.06 is: 29,131.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.75 : 12,350.06 = 12,350.06 : x
  2. Step 2: Convert to fraction form
    5,235.75/12,350.06 = 12,350.06/x
  3. Step 3: Cross multiply
    5,235.75x = 12,350.06 × 12,350.06
  4. Step 4: Simplify right side
    5,235.75x = 152,524,043.75
  5. Step 5: Solve for x
    x = 152,524,043.75/5,235.75
  6. Step 6: Final answer
    x = 29,131.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.