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Finding the Third Proportional to 2,737.76 and 5,817.23

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Solution

The third proportional to 2,737.76 and 5,817.23 is: 12,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.76 : 5,817.23 = 5,817.23 : x
  2. Step 2: Convert to fraction form
    2,737.76/5,817.23 = 5,817.23/x
  3. Step 3: Cross multiply
    2,737.76x = 5,817.23 × 5,817.23
  4. Step 4: Simplify right side
    2,737.76x = 33,840,215.77
  5. Step 5: Solve for x
    x = 33,840,215.77/2,737.76
  6. Step 6: Final answer
    x = 12,360.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.