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Finding the Third Proportional to 11,784 and 24,780

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Solution

The third proportional to 11,784 and 24,780 is: 52,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784 : 24,780 = 24,780 : x
  2. Step 2: Convert to fraction form
    11,784/24,780 = 24,780/x
  3. Step 3: Cross multiply
    11,784x = 24,780 × 24,780
  4. Step 4: Simplify right side
    11,784x = 614,048,400
  5. Step 5: Solve for x
    x = 614,048,400/11,784
  6. Step 6: Final answer
    x = 52,108.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.