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Finding the Third Proportional to 12,077.44 and 25,476.19

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Solution

The third proportional to 12,077.44 and 25,476.19 is: 53,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.44 : 25,476.19 = 25,476.19 : x
  2. Step 2: Convert to fraction form
    12,077.44/25,476.19 = 25,476.19/x
  3. Step 3: Cross multiply
    12,077.44x = 25,476.19 × 25,476.19
  4. Step 4: Simplify right side
    12,077.44x = 649,036,129.54
  5. Step 5: Solve for x
    x = 649,036,129.54/12,077.44
  6. Step 6: Final answer
    x = 53,739.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.