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Finding the Third Proportional to 11,642.06 and 16,394.06

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Solution

The third proportional to 11,642.06 and 16,394.06 is: 23,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.06 : 16,394.06 = 16,394.06 : x
  2. Step 2: Convert to fraction form
    11,642.06/16,394.06 = 16,394.06/x
  3. Step 3: Cross multiply
    11,642.06x = 16,394.06 × 16,394.06
  4. Step 4: Simplify right side
    11,642.06x = 268,765,285.25
  5. Step 5: Solve for x
    x = 268,765,285.25/11,642.06
  6. Step 6: Final answer
    x = 23,085.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.