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Finding the Third Proportional to 17,412.75 and 19,977.75

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Solution

The third proportional to 17,412.75 and 19,977.75 is: 22,920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412.75 : 19,977.75 = 19,977.75 : x
  2. Step 2: Convert to fraction form
    17,412.75/19,977.75 = 19,977.75/x
  3. Step 3: Cross multiply
    17,412.75x = 19,977.75 × 19,977.75
  4. Step 4: Simplify right side
    17,412.75x = 399,110,495.06
  5. Step 5: Solve for x
    x = 399,110,495.06/17,412.75
  6. Step 6: Final answer
    x = 22,920.59

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.