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Finding the Third Proportional to 10,463.63 and 15,694.31

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Solution

The third proportional to 10,463.63 and 15,694.31 is: 23,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.63 : 15,694.31 = 15,694.31 : x
  2. Step 2: Convert to fraction form
    10,463.63/15,694.31 = 15,694.31/x
  3. Step 3: Cross multiply
    10,463.63x = 15,694.31 × 15,694.31
  4. Step 4: Simplify right side
    10,463.63x = 246,311,444.85
  5. Step 5: Solve for x
    x = 246,311,444.85/10,463.63
  6. Step 6: Final answer
    x = 23,539.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.