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Finding the Third Proportional to 11,237.25 and 24,456

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Solution

The third proportional to 11,237.25 and 24,456 is: 53,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,237.25 : 24,456 = 24,456 : x
  2. Step 2: Convert to fraction form
    11,237.25/24,456 = 24,456/x
  3. Step 3: Cross multiply
    11,237.25x = 24,456 × 24,456
  4. Step 4: Simplify right side
    11,237.25x = 598,095,936
  5. Step 5: Solve for x
    x = 598,095,936/11,237.25
  6. Step 6: Final answer
    x = 53,224.40

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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.