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Finding the Third Proportional to 21,952 and 51,797

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Solution

The third proportional to 21,952 and 51,797 is: 122,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,952 : 51,797 = 51,797 : x
  2. Step 2: Convert to fraction form
    21,952/51,797 = 51,797/x
  3. Step 3: Cross multiply
    21,952x = 51,797 × 51,797
  4. Step 4: Simplify right side
    21,952x = 2,682,929,209
  5. Step 5: Solve for x
    x = 2,682,929,209/21,952
  6. Step 6: Final answer
    x = 122,217.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.