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Finding the Third Proportional to 24,102.56 and 49,379.63

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Solution

The third proportional to 24,102.56 and 49,379.63 is: 101,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.56 : 49,379.63 = 49,379.63 : x
  2. Step 2: Convert to fraction form
    24,102.56/49,379.63 = 49,379.63/x
  3. Step 3: Cross multiply
    24,102.56x = 49,379.63 × 49,379.63
  4. Step 4: Simplify right side
    24,102.56x = 2,438,347,365.14
  5. Step 5: Solve for x
    x = 2,438,347,365.14/24,102.56
  6. Step 6: Final answer
    x = 101,165.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.