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Finding the Third Proportional to 12,992.25 and 27,534.75

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Solution

The third proportional to 12,992.25 and 27,534.75 is: 58,354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.25 : 27,534.75 = 27,534.75 : x
  2. Step 2: Convert to fraction form
    12,992.25/27,534.75 = 27,534.75/x
  3. Step 3: Cross multiply
    12,992.25x = 27,534.75 × 27,534.75
  4. Step 4: Simplify right side
    12,992.25x = 758,162,457.56
  5. Step 5: Solve for x
    x = 758,162,457.56/12,992.25
  6. Step 6: Final answer
    x = 58,354.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.