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Finding the Third Proportional to 17,280 and 25,668

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Solution

The third proportional to 17,280 and 25,668 is: 38,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,280 : 25,668 = 25,668 : x
  2. Step 2: Convert to fraction form
    17,280/25,668 = 25,668/x
  3. Step 3: Cross multiply
    17,280x = 25,668 × 25,668
  4. Step 4: Simplify right side
    17,280x = 658,846,224
  5. Step 5: Solve for x
    x = 658,846,224/17,280
  6. Step 6: Final answer
    x = 38,127.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.