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Finding the Third Proportional to 1,722.75 and 3,773.86

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Solution

The third proportional to 1,722.75 and 3,773.86 is: 8,267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.75 : 3,773.86 = 3,773.86 : x
  2. Step 2: Convert to fraction form
    1,722.75/3,773.86 = 3,773.86/x
  3. Step 3: Cross multiply
    1,722.75x = 3,773.86 × 3,773.86
  4. Step 4: Simplify right side
    1,722.75x = 14,241,992.47
  5. Step 5: Solve for x
    x = 14,241,992.47/1,722.75
  6. Step 6: Final answer
    x = 8,267.00

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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.