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Finding the Third Proportional to 3,196.50 and 4,317.75

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Solution

The third proportional to 3,196.50 and 4,317.75 is: 5,832.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.50 : 4,317.75 = 4,317.75 : x
  2. Step 2: Convert to fraction form
    3,196.50/4,317.75 = 4,317.75/x
  3. Step 3: Cross multiply
    3,196.50x = 4,317.75 × 4,317.75
  4. Step 4: Simplify right side
    3,196.50x = 18,642,965.06
  5. Step 5: Solve for x
    x = 18,642,965.06/3,196.50
  6. Step 6: Final answer
    x = 5,832.31

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