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Finding the Third Proportional to 17,317.50 and 24,922.50

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Solution

The third proportional to 17,317.50 and 24,922.50 is: 35,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,317.50 : 24,922.50 = 24,922.50 : x
  2. Step 2: Convert to fraction form
    17,317.50/24,922.50 = 24,922.50/x
  3. Step 3: Cross multiply
    17,317.50x = 24,922.50 × 24,922.50
  4. Step 4: Simplify right side
    17,317.50x = 621,131,006.25
  5. Step 5: Solve for x
    x = 621,131,006.25/17,317.50
  6. Step 6: Final answer
    x = 35,867.24

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.