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Finding the Third Proportional to 12,809.25 and 17,543.25

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Solution

The third proportional to 12,809.25 and 17,543.25 is: 24,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.25 : 17,543.25 = 17,543.25 : x
  2. Step 2: Convert to fraction form
    12,809.25/17,543.25 = 17,543.25/x
  3. Step 3: Cross multiply
    12,809.25x = 17,543.25 × 17,543.25
  4. Step 4: Simplify right side
    12,809.25x = 307,765,620.56
  5. Step 5: Solve for x
    x = 307,765,620.56/12,809.25
  6. Step 6: Final answer
    x = 24,026.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.