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Finding the Third Proportional to 17,472 and 27,088

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Solution

The third proportional to 17,472 and 27,088 is: 41,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,472 : 27,088 = 27,088 : x
  2. Step 2: Convert to fraction form
    17,472/27,088 = 27,088/x
  3. Step 3: Cross multiply
    17,472x = 27,088 × 27,088
  4. Step 4: Simplify right side
    17,472x = 733,759,744
  5. Step 5: Solve for x
    x = 733,759,744/17,472
  6. Step 6: Final answer
    x = 41,996.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.