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Finding the Third Proportional to 21,797 and 33,545

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Solution

The third proportional to 21,797 and 33,545 is: 51,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,797 : 33,545 = 33,545 : x
  2. Step 2: Convert to fraction form
    21,797/33,545 = 33,545/x
  3. Step 3: Cross multiply
    21,797x = 33,545 × 33,545
  4. Step 4: Simplify right side
    21,797x = 1,125,267,025
  5. Step 5: Solve for x
    x = 1,125,267,025/21,797
  6. Step 6: Final answer
    x = 51,624.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.