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Finding the Third Proportional to 11,963.25 and 17,124.75

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Solution

The third proportional to 11,963.25 and 17,124.75 is: 24,513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.25 : 17,124.75 = 17,124.75 : x
  2. Step 2: Convert to fraction form
    11,963.25/17,124.75 = 17,124.75/x
  3. Step 3: Cross multiply
    11,963.25x = 17,124.75 × 17,124.75
  4. Step 4: Simplify right side
    11,963.25x = 293,257,062.56
  5. Step 5: Solve for x
    x = 293,257,062.56/11,963.25
  6. Step 6: Final answer
    x = 24,513.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.