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Finding the Third Proportional to 6,758.25 and 10,503

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Solution

The third proportional to 6,758.25 and 10,503 is: 16,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.25 : 10,503 = 10,503 : x
  2. Step 2: Convert to fraction form
    6,758.25/10,503 = 10,503/x
  3. Step 3: Cross multiply
    6,758.25x = 10,503 × 10,503
  4. Step 4: Simplify right side
    6,758.25x = 110,313,009
  5. Step 5: Solve for x
    x = 110,313,009/6,758.25
  6. Step 6: Final answer
    x = 16,322.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.