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Finding the Third Proportional to 24,624 and 33,642

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Solution

The third proportional to 24,624 and 33,642 is: 45,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,624 : 33,642 = 33,642 : x
  2. Step 2: Convert to fraction form
    24,624/33,642 = 33,642/x
  3. Step 3: Cross multiply
    24,624x = 33,642 × 33,642
  4. Step 4: Simplify right side
    24,624x = 1,131,784,164
  5. Step 5: Solve for x
    x = 1,131,784,164/24,624
  6. Step 6: Final answer
    x = 45,962.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.