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Finding the Third Proportional to 17,472 and 37,724

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Solution

The third proportional to 17,472 and 37,724 is: 81,450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,472 : 37,724 = 37,724 : x
  2. Step 2: Convert to fraction form
    17,472/37,724 = 37,724/x
  3. Step 3: Cross multiply
    17,472x = 37,724 × 37,724
  4. Step 4: Simplify right side
    17,472x = 1,423,100,176
  5. Step 5: Solve for x
    x = 1,423,100,176/17,472
  6. Step 6: Final answer
    x = 81,450.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.