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Finding the Third Proportional to 24,237.56 and 50,682.38

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Solution

The third proportional to 24,237.56 and 50,682.38 is: 105,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,237.56 : 50,682.38 = 50,682.38 : x
  2. Step 2: Convert to fraction form
    24,237.56/50,682.38 = 50,682.38/x
  3. Step 3: Cross multiply
    24,237.56x = 50,682.38 × 50,682.38
  4. Step 4: Simplify right side
    24,237.56x = 2,568,703,135.64
  5. Step 5: Solve for x
    x = 2,568,703,135.64/24,237.56
  6. Step 6: Final answer
    x = 105,980.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.