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Finding the Third Proportional to 936.38 and 1,370.72

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Solution

The third proportional to 936.38 and 1,370.72 is: 2,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.38 : 1,370.72 = 1,370.72 : x
  2. Step 2: Convert to fraction form
    936.38/1,370.72 = 1,370.72/x
  3. Step 3: Cross multiply
    936.38x = 1,370.72 × 1,370.72
  4. Step 4: Simplify right side
    936.38x = 1,878,869.89
  5. Step 5: Solve for x
    x = 1,878,869.89/936.38
  6. Step 6: Final answer
    x = 2,006.54

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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.