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Finding the Third Proportional to 7,633.14 and 16,193.20

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Solution

The third proportional to 7,633.14 and 16,193.20 is: 34,352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.14 : 16,193.20 = 16,193.20 : x
  2. Step 2: Convert to fraction form
    7,633.14/16,193.20 = 16,193.20/x
  3. Step 3: Cross multiply
    7,633.14x = 16,193.20 × 16,193.20
  4. Step 4: Simplify right side
    7,633.14x = 262,219,637.68
  5. Step 5: Solve for x
    x = 262,219,637.68/7,633.14
  6. Step 6: Final answer
    x = 34,352.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.