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Finding the Third Proportional to 5,693 and 13,733

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Solution

The third proportional to 5,693 and 13,733 is: 33,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693 : 13,733 = 13,733 : x
  2. Step 2: Convert to fraction form
    5,693/13,733 = 13,733/x
  3. Step 3: Cross multiply
    5,693x = 13,733 × 13,733
  4. Step 4: Simplify right side
    5,693x = 188,595,289
  5. Step 5: Solve for x
    x = 188,595,289/5,693
  6. Step 6: Final answer
    x = 33,127.58

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.