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Finding the Third Proportional to 19,124.25 and 27,544.25

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Solution

The third proportional to 19,124.25 and 27,544.25 is: 39,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,124.25 : 27,544.25 = 27,544.25 : x
  2. Step 2: Convert to fraction form
    19,124.25/27,544.25 = 27,544.25/x
  3. Step 3: Cross multiply
    19,124.25x = 27,544.25 × 27,544.25
  4. Step 4: Simplify right side
    19,124.25x = 758,685,708.06
  5. Step 5: Solve for x
    x = 758,685,708.06/19,124.25
  6. Step 6: Final answer
    x = 39,671.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.