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Finding the Third Proportional to 11,448.50 and 24,127

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Solution

The third proportional to 11,448.50 and 24,127 is: 50,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.50 : 24,127 = 24,127 : x
  2. Step 2: Convert to fraction form
    11,448.50/24,127 = 24,127/x
  3. Step 3: Cross multiply
    11,448.50x = 24,127 × 24,127
  4. Step 4: Simplify right side
    11,448.50x = 582,112,129
  5. Step 5: Solve for x
    x = 582,112,129/11,448.50
  6. Step 6: Final answer
    x = 50,846.15

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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.