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Finding the Third Proportional to 2,638.13 and 3,999.94

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Solution

The third proportional to 2,638.13 and 3,999.94 is: 6,064.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.13 : 3,999.94 = 3,999.94 : x
  2. Step 2: Convert to fraction form
    2,638.13/3,999.94 = 3,999.94/x
  3. Step 3: Cross multiply
    2,638.13x = 3,999.94 × 3,999.94
  4. Step 4: Simplify right side
    2,638.13x = 15,999,500.00
  5. Step 5: Solve for x
    x = 15,999,500.00/2,638.13
  6. Step 6: Final answer
    x = 6,064.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.