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Finding the Third Proportional to 11,187 and 23,525

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Solution

The third proportional to 11,187 and 23,525 is: 49,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,187 : 23,525 = 23,525 : x
  2. Step 2: Convert to fraction form
    11,187/23,525 = 23,525/x
  3. Step 3: Cross multiply
    11,187x = 23,525 × 23,525
  4. Step 4: Simplify right side
    11,187x = 553,425,625
  5. Step 5: Solve for x
    x = 553,425,625/11,187
  6. Step 6: Final answer
    x = 49,470.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.