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Finding the Third Proportional to 17,523 and 27,895

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Solution

The third proportional to 17,523 and 27,895 is: 44,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523 : 27,895 = 27,895 : x
  2. Step 2: Convert to fraction form
    17,523/27,895 = 27,895/x
  3. Step 3: Cross multiply
    17,523x = 27,895 × 27,895
  4. Step 4: Simplify right side
    17,523x = 778,131,025
  5. Step 5: Solve for x
    x = 778,131,025/17,523
  6. Step 6: Final answer
    x = 44,406.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.