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Finding the Third Proportional to 11,027.81 and 24,038.44

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Solution

The third proportional to 11,027.81 and 24,038.44 is: 52,399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027.81 : 24,038.44 = 24,038.44 : x
  2. Step 2: Convert to fraction form
    11,027.81/24,038.44 = 24,038.44/x
  3. Step 3: Cross multiply
    11,027.81x = 24,038.44 × 24,038.44
  4. Step 4: Simplify right side
    11,027.81x = 577,846,477.44
  5. Step 5: Solve for x
    x = 577,846,477.44/11,027.81
  6. Step 6: Final answer
    x = 52,399.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.