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Finding the Third Proportional to 14,391 and 33,642

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Solution

The third proportional to 14,391 and 33,642 is: 78,645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,391 : 33,642 = 33,642 : x
  2. Step 2: Convert to fraction form
    14,391/33,642 = 33,642/x
  3. Step 3: Cross multiply
    14,391x = 33,642 × 33,642
  4. Step 4: Simplify right side
    14,391x = 1,131,784,164
  5. Step 5: Solve for x
    x = 1,131,784,164/14,391
  6. Step 6: Final answer
    x = 78,645.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.