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Finding the Third Proportional to 24,234 and 34,644

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Solution

The third proportional to 24,234 and 34,644 is: 49,525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,234 : 34,644 = 34,644 : x
  2. Step 2: Convert to fraction form
    24,234/34,644 = 34,644/x
  3. Step 3: Cross multiply
    24,234x = 34,644 × 34,644
  4. Step 4: Simplify right side
    24,234x = 1,200,206,736
  5. Step 5: Solve for x
    x = 1,200,206,736/24,234
  6. Step 6: Final answer
    x = 49,525.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.