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Finding the Third Proportional to 12,830.75 and 19,194.25

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Solution

The third proportional to 12,830.75 and 19,194.25 is: 28,713.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.75 : 19,194.25 = 19,194.25 : x
  2. Step 2: Convert to fraction form
    12,830.75/19,194.25 = 19,194.25/x
  3. Step 3: Cross multiply
    12,830.75x = 19,194.25 × 19,194.25
  4. Step 4: Simplify right side
    12,830.75x = 368,419,233.06
  5. Step 5: Solve for x
    x = 368,419,233.06/12,830.75
  6. Step 6: Final answer
    x = 28,713.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.