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Finding the Third Proportional to 12,384 and 24,138

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Solution

The third proportional to 12,384 and 24,138 is: 47,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384 : 24,138 = 24,138 : x
  2. Step 2: Convert to fraction form
    12,384/24,138 = 24,138/x
  3. Step 3: Cross multiply
    12,384x = 24,138 × 24,138
  4. Step 4: Simplify right side
    12,384x = 582,643,044
  5. Step 5: Solve for x
    x = 582,643,044/12,384
  6. Step 6: Final answer
    x = 47,048.05

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.