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Finding the Third Proportional to 5,073.50 and 11,858.50

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Solution

The third proportional to 5,073.50 and 11,858.50 is: 27,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073.50 : 11,858.50 = 11,858.50 : x
  2. Step 2: Convert to fraction form
    5,073.50/11,858.50 = 11,858.50/x
  3. Step 3: Cross multiply
    5,073.50x = 11,858.50 × 11,858.50
  4. Step 4: Simplify right side
    5,073.50x = 140,624,022.25
  5. Step 5: Solve for x
    x = 140,624,022.25/5,073.50
  6. Step 6: Final answer
    x = 27,717.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.