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Finding the Third Proportional to 24,329 and 51,797

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Solution

The third proportional to 24,329 and 51,797 is: 110,277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,329 : 51,797 = 51,797 : x
  2. Step 2: Convert to fraction form
    24,329/51,797 = 51,797/x
  3. Step 3: Cross multiply
    24,329x = 51,797 × 51,797
  4. Step 4: Simplify right side
    24,329x = 2,682,929,209
  5. Step 5: Solve for x
    x = 2,682,929,209/24,329
  6. Step 6: Final answer
    x = 110,277.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.