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Finding the Third Proportional to 11,496 and 25,144.50

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Solution

The third proportional to 11,496 and 25,144.50 is: 54,997.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496 : 25,144.50 = 25,144.50 : x
  2. Step 2: Convert to fraction form
    11,496/25,144.50 = 25,144.50/x
  3. Step 3: Cross multiply
    11,496x = 25,144.50 × 25,144.50
  4. Step 4: Simplify right side
    11,496x = 632,245,880.25
  5. Step 5: Solve for x
    x = 632,245,880.25/11,496
  6. Step 6: Final answer
    x = 54,997.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.