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Finding the Third Proportional to 3,297.38 and 4,638.94

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Solution

The third proportional to 3,297.38 and 4,638.94 is: 6,526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.38 : 4,638.94 = 4,638.94 : x
  2. Step 2: Convert to fraction form
    3,297.38/4,638.94 = 4,638.94/x
  3. Step 3: Cross multiply
    3,297.38x = 4,638.94 × 4,638.94
  4. Step 4: Simplify right side
    3,297.38x = 21,519,741.13
  5. Step 5: Solve for x
    x = 21,519,741.13/3,297.38
  6. Step 6: Final answer
    x = 6,526.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.