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Finding the Third Proportional to 5,733 and 10,062

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Solution

The third proportional to 5,733 and 10,062 is: 17,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733 : 10,062 = 10,062 : x
  2. Step 2: Convert to fraction form
    5,733/10,062 = 10,062/x
  3. Step 3: Cross multiply
    5,733x = 10,062 × 10,062
  4. Step 4: Simplify right side
    5,733x = 101,243,844
  5. Step 5: Solve for x
    x = 101,243,844/5,733
  6. Step 6: Final answer
    x = 17,659.84

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.