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Finding the Third Proportional to 14,344 and 23,736

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Solution

The third proportional to 14,344 and 23,736 is: 39,277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,344 : 23,736 = 23,736 : x
  2. Step 2: Convert to fraction form
    14,344/23,736 = 23,736/x
  3. Step 3: Cross multiply
    14,344x = 23,736 × 23,736
  4. Step 4: Simplify right side
    14,344x = 563,397,696
  5. Step 5: Solve for x
    x = 563,397,696/14,344
  6. Step 6: Final answer
    x = 39,277.59

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.