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Finding the Third Proportional to 13,038 and 17,668

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Solution

The third proportional to 13,038 and 17,668 is: 23,942.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038 : 17,668 = 17,668 : x
  2. Step 2: Convert to fraction form
    13,038/17,668 = 17,668/x
  3. Step 3: Cross multiply
    13,038x = 17,668 × 17,668
  4. Step 4: Simplify right side
    13,038x = 312,158,224
  5. Step 5: Solve for x
    x = 312,158,224/13,038
  6. Step 6: Final answer
    x = 23,942.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.