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Finding the Third Proportional to 11,991 and 26,168.50

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Solution

The third proportional to 11,991 and 26,168.50 is: 57,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991 : 26,168.50 = 26,168.50 : x
  2. Step 2: Convert to fraction form
    11,991/26,168.50 = 26,168.50/x
  3. Step 3: Cross multiply
    11,991x = 26,168.50 × 26,168.50
  4. Step 4: Simplify right side
    11,991x = 684,790,392.25
  5. Step 5: Solve for x
    x = 684,790,392.25/11,991
  6. Step 6: Final answer
    x = 57,108.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.