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Finding the Third Proportional to 1,537.73 and 2,033.23

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Solution

The third proportional to 1,537.73 and 2,033.23 is: 2,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.73 : 2,033.23 = 2,033.23 : x
  2. Step 2: Convert to fraction form
    1,537.73/2,033.23 = 2,033.23/x
  3. Step 3: Cross multiply
    1,537.73x = 2,033.23 × 2,033.23
  4. Step 4: Simplify right side
    1,537.73x = 4,134,010.25
  5. Step 5: Solve for x
    x = 4,134,010.25/1,537.73
  6. Step 6: Final answer
    x = 2,688.38

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.