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Finding the Third Proportional to 6,493 and 10,550

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Solution

The third proportional to 6,493 and 10,550 is: 17,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493 : 10,550 = 10,550 : x
  2. Step 2: Convert to fraction form
    6,493/10,550 = 10,550/x
  3. Step 3: Cross multiply
    6,493x = 10,550 × 10,550
  4. Step 4: Simplify right side
    6,493x = 111,302,500
  5. Step 5: Solve for x
    x = 111,302,500/6,493
  6. Step 6: Final answer
    x = 17,141.92

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.