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Finding the Third Proportional to 3,235.50 and 7,063.31

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Solution

The third proportional to 3,235.50 and 7,063.31 is: 15,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.50 : 7,063.31 = 7,063.31 : x
  2. Step 2: Convert to fraction form
    3,235.50/7,063.31 = 7,063.31/x
  3. Step 3: Cross multiply
    3,235.50x = 7,063.31 × 7,063.31
  4. Step 4: Simplify right side
    3,235.50x = 49,890,383.47
  5. Step 5: Solve for x
    x = 49,890,383.47/3,235.50
  6. Step 6: Final answer
    x = 15,419.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.