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Finding the Third Proportional to 9,072.75 and 19,934.25

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Solution

The third proportional to 9,072.75 and 19,934.25 is: 43,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.75 : 19,934.25 = 19,934.25 : x
  2. Step 2: Convert to fraction form
    9,072.75/19,934.25 = 19,934.25/x
  3. Step 3: Cross multiply
    9,072.75x = 19,934.25 × 19,934.25
  4. Step 4: Simplify right side
    9,072.75x = 397,374,323.06
  5. Step 5: Solve for x
    x = 397,374,323.06/9,072.75
  6. Step 6: Final answer
    x = 43,798.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.