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Finding the Third Proportional to 12,321.56 and 19,114.31

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Solution

The third proportional to 12,321.56 and 19,114.31 is: 29,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321.56 : 19,114.31 = 19,114.31 : x
  2. Step 2: Convert to fraction form
    12,321.56/19,114.31 = 19,114.31/x
  3. Step 3: Cross multiply
    12,321.56x = 19,114.31 × 19,114.31
  4. Step 4: Simplify right side
    12,321.56x = 365,356,942.35
  5. Step 5: Solve for x
    x = 365,356,942.35/12,321.56
  6. Step 6: Final answer
    x = 29,651.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.