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Finding the Third Proportional to 2,892.09 and 6,352.59

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Solution

The third proportional to 2,892.09 and 6,352.59 is: 13,953.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.09 : 6,352.59 = 6,352.59 : x
  2. Step 2: Convert to fraction form
    2,892.09/6,352.59 = 6,352.59/x
  3. Step 3: Cross multiply
    2,892.09x = 6,352.59 × 6,352.59
  4. Step 4: Simplify right side
    2,892.09x = 40,355,447.35
  5. Step 5: Solve for x
    x = 40,355,447.35/2,892.09
  6. Step 6: Final answer
    x = 13,953.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.