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Finding the Third Proportional to 1,550.06 and 2,265.94

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Solution

The third proportional to 1,550.06 and 2,265.94 is: 3,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.06 : 2,265.94 = 2,265.94 : x
  2. Step 2: Convert to fraction form
    1,550.06/2,265.94 = 2,265.94/x
  3. Step 3: Cross multiply
    1,550.06x = 2,265.94 × 2,265.94
  4. Step 4: Simplify right side
    1,550.06x = 5,134,472.75
  5. Step 5: Solve for x
    x = 5,134,472.75/1,550.06
  6. Step 6: Final answer
    x = 3,312.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.