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Finding the Third Proportional to 10,200.94 and 13,385.25

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Solution

The third proportional to 10,200.94 and 13,385.25 is: 17,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.94 : 13,385.25 = 13,385.25 : x
  2. Step 2: Convert to fraction form
    10,200.94/13,385.25 = 13,385.25/x
  3. Step 3: Cross multiply
    10,200.94x = 13,385.25 × 13,385.25
  4. Step 4: Simplify right side
    10,200.94x = 179,164,917.56
  5. Step 5: Solve for x
    x = 179,164,917.56/10,200.94
  6. Step 6: Final answer
    x = 17,563.57

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.