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Finding the Third Proportional to 5,178.94 and 11,527.31

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Solution

The third proportional to 5,178.94 and 11,527.31 is: 25,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.94 : 11,527.31 = 11,527.31 : x
  2. Step 2: Convert to fraction form
    5,178.94/11,527.31 = 11,527.31/x
  3. Step 3: Cross multiply
    5,178.94x = 11,527.31 × 11,527.31
  4. Step 4: Simplify right side
    5,178.94x = 132,878,933.47
  5. Step 5: Solve for x
    x = 132,878,933.47/5,178.94
  6. Step 6: Final answer
    x = 25,657.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.