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Finding the Third Proportional to 21,086 and 33,573

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Solution

The third proportional to 21,086 and 33,573 is: 53,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,086 : 33,573 = 33,573 : x
  2. Step 2: Convert to fraction form
    21,086/33,573 = 33,573/x
  3. Step 3: Cross multiply
    21,086x = 33,573 × 33,573
  4. Step 4: Simplify right side
    21,086x = 1,127,146,329
  5. Step 5: Solve for x
    x = 1,127,146,329/21,086
  6. Step 6: Final answer
    x = 53,454.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.