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Finding the Third Proportional to 3,813.75 and 8,355.75

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Solution

The third proportional to 3,813.75 and 8,355.75 is: 18,307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.75 : 8,355.75 = 8,355.75 : x
  2. Step 2: Convert to fraction form
    3,813.75/8,355.75 = 8,355.75/x
  3. Step 3: Cross multiply
    3,813.75x = 8,355.75 × 8,355.75
  4. Step 4: Simplify right side
    3,813.75x = 69,818,558.06
  5. Step 5: Solve for x
    x = 69,818,558.06/3,813.75
  6. Step 6: Final answer
    x = 18,307.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.