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Finding the Third Proportional to 24,102.56 and 50,027.63

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Solution

The third proportional to 24,102.56 and 50,027.63 is: 103,838.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.56 : 50,027.63 = 50,027.63 : x
  2. Step 2: Convert to fraction form
    24,102.56/50,027.63 = 50,027.63/x
  3. Step 3: Cross multiply
    24,102.56x = 50,027.63 × 50,027.63
  4. Step 4: Simplify right side
    24,102.56x = 2,502,763,263.14
  5. Step 5: Solve for x
    x = 2,502,763,263.14/24,102.56
  6. Step 6: Final answer
    x = 103,838.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.