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Finding the Third Proportional to 996.38 and 1,537.31

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Solution

The third proportional to 996.38 and 1,537.31 is: 2,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.38 : 1,537.31 = 1,537.31 : x
  2. Step 2: Convert to fraction form
    996.38/1,537.31 = 1,537.31/x
  3. Step 3: Cross multiply
    996.38x = 1,537.31 × 1,537.31
  4. Step 4: Simplify right side
    996.38x = 2,363,329.72
  5. Step 5: Solve for x
    x = 2,363,329.72/996.38
  6. Step 6: Final answer
    x = 2,371.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.