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Finding the Third Proportional to 1,721.25 and 3,763.34

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Solution

The third proportional to 1,721.25 and 3,763.34 is: 8,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.25 : 3,763.34 = 3,763.34 : x
  2. Step 2: Convert to fraction form
    1,721.25/3,763.34 = 3,763.34/x
  3. Step 3: Cross multiply
    1,721.25x = 3,763.34 × 3,763.34
  4. Step 4: Simplify right side
    1,721.25x = 14,162,697.38
  5. Step 5: Solve for x
    x = 14,162,697.38/1,721.25
  6. Step 6: Final answer
    x = 8,228.15

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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.