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Finding the Third Proportional to 10,194.25 and 14,355.75

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Solution

The third proportional to 10,194.25 and 14,355.75 is: 20,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.25 : 14,355.75 = 14,355.75 : x
  2. Step 2: Convert to fraction form
    10,194.25/14,355.75 = 14,355.75/x
  3. Step 3: Cross multiply
    10,194.25x = 14,355.75 × 14,355.75
  4. Step 4: Simplify right side
    10,194.25x = 206,087,558.06
  5. Step 5: Solve for x
    x = 206,087,558.06/10,194.25
  6. Step 6: Final answer
    x = 20,216.06

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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.