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Finding the Third Proportional to 17,191 and 23,194.50

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Solution

The third proportional to 17,191 and 23,194.50 is: 31,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,191 : 23,194.50 = 23,194.50 : x
  2. Step 2: Convert to fraction form
    17,191/23,194.50 = 23,194.50/x
  3. Step 3: Cross multiply
    17,191x = 23,194.50 × 23,194.50
  4. Step 4: Simplify right side
    17,191x = 537,984,830.25
  5. Step 5: Solve for x
    x = 537,984,830.25/17,191
  6. Step 6: Final answer
    x = 31,294.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.