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Finding the Third Proportional to 25,855 and 53,329

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Solution

The third proportional to 25,855 and 53,329 is: 109,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,855 : 53,329 = 53,329 : x
  2. Step 2: Convert to fraction form
    25,855/53,329 = 53,329/x
  3. Step 3: Cross multiply
    25,855x = 53,329 × 53,329
  4. Step 4: Simplify right side
    25,855x = 2,843,982,241
  5. Step 5: Solve for x
    x = 2,843,982,241/25,855
  6. Step 6: Final answer
    x = 109,997.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.