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Finding the Third Proportional to 15,455 and 22,625

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Solution

The third proportional to 15,455 and 22,625 is: 33,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,455 : 22,625 = 22,625 : x
  2. Step 2: Convert to fraction form
    15,455/22,625 = 22,625/x
  3. Step 3: Cross multiply
    15,455x = 22,625 × 22,625
  4. Step 4: Simplify right side
    15,455x = 511,890,625
  5. Step 5: Solve for x
    x = 511,890,625/15,455
  6. Step 6: Final answer
    x = 33,121.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.