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Finding the Third Proportional to 11,880 and 27,623.88

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Solution

The third proportional to 11,880 and 27,623.88 is: 64,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880 : 27,623.88 = 27,623.88 : x
  2. Step 2: Convert to fraction form
    11,880/27,623.88 = 27,623.88/x
  3. Step 3: Cross multiply
    11,880x = 27,623.88 × 27,623.88
  4. Step 4: Simplify right side
    11,880x = 763,078,470.02
  5. Step 5: Solve for x
    x = 763,078,470.02/11,880
  6. Step 6: Final answer
    x = 64,232.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.