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Finding the Third Proportional to 10,157.63 and 13,481.44

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Solution

The third proportional to 10,157.63 and 13,481.44 is: 17,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.63 : 13,481.44 = 13,481.44 : x
  2. Step 2: Convert to fraction form
    10,157.63/13,481.44 = 13,481.44/x
  3. Step 3: Cross multiply
    10,157.63x = 13,481.44 × 13,481.44
  4. Step 4: Simplify right side
    10,157.63x = 181,749,157.07
  5. Step 5: Solve for x
    x = 181,749,157.07/10,157.63
  6. Step 6: Final answer
    x = 17,892.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.