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Finding the Third Proportional to 2,669.20 and 4,051.27

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Solution

The third proportional to 2,669.20 and 4,051.27 is: 6,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.20 : 4,051.27 = 4,051.27 : x
  2. Step 2: Convert to fraction form
    2,669.20/4,051.27 = 4,051.27/x
  3. Step 3: Cross multiply
    2,669.20x = 4,051.27 × 4,051.27
  4. Step 4: Simplify right side
    2,669.20x = 16,412,753.16
  5. Step 5: Solve for x
    x = 16,412,753.16/2,669.20
  6. Step 6: Final answer
    x = 6,148.93

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