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Finding the Third Proportional to 11,317.50 and 16,827.75

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Solution

The third proportional to 11,317.50 and 16,827.75 is: 25,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,317.50 : 16,827.75 = 16,827.75 : x
  2. Step 2: Convert to fraction form
    11,317.50/16,827.75 = 16,827.75/x
  3. Step 3: Cross multiply
    11,317.50x = 16,827.75 × 16,827.75
  4. Step 4: Simplify right side
    11,317.50x = 283,173,170.06
  5. Step 5: Solve for x
    x = 283,173,170.06/11,317.50
  6. Step 6: Final answer
    x = 25,020.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.