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Finding the Third Proportional to 7,525 and 13,469

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Solution

The third proportional to 7,525 and 13,469 is: 24,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525 : 13,469 = 13,469 : x
  2. Step 2: Convert to fraction form
    7,525/13,469 = 13,469/x
  3. Step 3: Cross multiply
    7,525x = 13,469 × 13,469
  4. Step 4: Simplify right side
    7,525x = 181,413,961
  5. Step 5: Solve for x
    x = 181,413,961/7,525
  6. Step 6: Final answer
    x = 24,108.17

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.