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Finding the Third Proportional to 11,783 and 24,387

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Solution

The third proportional to 11,783 and 24,387 is: 50,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783 : 24,387 = 24,387 : x
  2. Step 2: Convert to fraction form
    11,783/24,387 = 24,387/x
  3. Step 3: Cross multiply
    11,783x = 24,387 × 24,387
  4. Step 4: Simplify right side
    11,783x = 594,725,769
  5. Step 5: Solve for x
    x = 594,725,769/11,783
  6. Step 6: Final answer
    x = 50,473.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.