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Finding the Third Proportional to 34,404 and 79,642

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Solution

The third proportional to 34,404 and 79,642 is: 184,363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,404 : 79,642 = 79,642 : x
  2. Step 2: Convert to fraction form
    34,404/79,642 = 79,642/x
  3. Step 3: Cross multiply
    34,404x = 79,642 × 79,642
  4. Step 4: Simplify right side
    34,404x = 6,342,848,164
  5. Step 5: Solve for x
    x = 6,342,848,164/34,404
  6. Step 6: Final answer
    x = 184,363.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.