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Finding the Third Proportional to 5,892.75 and 12,765.09

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Solution

The third proportional to 5,892.75 and 12,765.09 is: 27,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.75 : 12,765.09 = 12,765.09 : x
  2. Step 2: Convert to fraction form
    5,892.75/12,765.09 = 12,765.09/x
  3. Step 3: Cross multiply
    5,892.75x = 12,765.09 × 12,765.09
  4. Step 4: Simplify right side
    5,892.75x = 162,947,618.45
  5. Step 5: Solve for x
    x = 162,947,618.45/5,892.75
  6. Step 6: Final answer
    x = 27,652.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.