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Finding the Third Proportional to 24,384 and 34,208

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Solution

The third proportional to 24,384 and 34,208 is: 47,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384 : 34,208 = 34,208 : x
  2. Step 2: Convert to fraction form
    24,384/34,208 = 34,208/x
  3. Step 3: Cross multiply
    24,384x = 34,208 × 34,208
  4. Step 4: Simplify right side
    24,384x = 1,170,187,264
  5. Step 5: Solve for x
    x = 1,170,187,264/24,384
  6. Step 6: Final answer
    x = 47,989.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.