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Finding the Third Proportional to 10,003.50 and 13,276.50

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Solution

The third proportional to 10,003.50 and 13,276.50 is: 17,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.50 : 13,276.50 = 13,276.50 : x
  2. Step 2: Convert to fraction form
    10,003.50/13,276.50 = 13,276.50/x
  3. Step 3: Cross multiply
    10,003.50x = 13,276.50 × 13,276.50
  4. Step 4: Simplify right side
    10,003.50x = 176,265,452.25
  5. Step 5: Solve for x
    x = 176,265,452.25/10,003.50
  6. Step 6: Final answer
    x = 17,620.38

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.