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Finding the Third Proportional to 2,362.92 and 5,451.68

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Solution

The third proportional to 2,362.92 and 5,451.68 is: 12,577.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.92 : 5,451.68 = 5,451.68 : x
  2. Step 2: Convert to fraction form
    2,362.92/5,451.68 = 5,451.68/x
  3. Step 3: Cross multiply
    2,362.92x = 5,451.68 × 5,451.68
  4. Step 4: Simplify right side
    2,362.92x = 29,720,811.42
  5. Step 5: Solve for x
    x = 29,720,811.42/2,362.92
  6. Step 6: Final answer
    x = 12,577.99

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.