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Finding the Third Proportional to 11,176.31 and 17,424.56

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Solution

The third proportional to 11,176.31 and 17,424.56 is: 27,165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.31 : 17,424.56 = 17,424.56 : x
  2. Step 2: Convert to fraction form
    11,176.31/17,424.56 = 17,424.56/x
  3. Step 3: Cross multiply
    11,176.31x = 17,424.56 × 17,424.56
  4. Step 4: Simplify right side
    11,176.31x = 303,615,378.32
  5. Step 5: Solve for x
    x = 303,615,378.32/11,176.31
  6. Step 6: Final answer
    x = 27,165.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.