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Finding the Third Proportional to 1,635.38 and 2,176.31

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Solution

The third proportional to 1,635.38 and 2,176.31 is: 2,896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.38 : 2,176.31 = 2,176.31 : x
  2. Step 2: Convert to fraction form
    1,635.38/2,176.31 = 2,176.31/x
  3. Step 3: Cross multiply
    1,635.38x = 2,176.31 × 2,176.31
  4. Step 4: Simplify right side
    1,635.38x = 4,736,336.10
  5. Step 5: Solve for x
    x = 4,736,336.10/1,635.38
  6. Step 6: Final answer
    x = 2,896.18

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.