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Finding the Third Proportional to 5,228.72 and 11,410.03

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Solution

The third proportional to 5,228.72 and 11,410.03 is: 24,898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.72 : 11,410.03 = 11,410.03 : x
  2. Step 2: Convert to fraction form
    5,228.72/11,410.03 = 11,410.03/x
  3. Step 3: Cross multiply
    5,228.72x = 11,410.03 × 11,410.03
  4. Step 4: Simplify right side
    5,228.72x = 130,188,813.13
  5. Step 5: Solve for x
    x = 130,188,813.13/5,228.72
  6. Step 6: Final answer
    x = 24,898.80

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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.