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Finding the Third Proportional to 1,835.40 and 2,761.22

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Solution

The third proportional to 1,835.40 and 2,761.22 is: 4,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.40 : 2,761.22 = 2,761.22 : x
  2. Step 2: Convert to fraction form
    1,835.40/2,761.22 = 2,761.22/x
  3. Step 3: Cross multiply
    1,835.40x = 2,761.22 × 2,761.22
  4. Step 4: Simplify right side
    1,835.40x = 7,624,361.34
  5. Step 5: Solve for x
    x = 7,624,361.34/1,835.40
  6. Step 6: Final answer
    x = 4,154.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.