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Finding the Third Proportional to 11,912.06 and 17,177.06

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Solution

The third proportional to 11,912.06 and 17,177.06 is: 24,769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.06 : 17,177.06 = 17,177.06 : x
  2. Step 2: Convert to fraction form
    11,912.06/17,177.06 = 17,177.06/x
  3. Step 3: Cross multiply
    11,912.06x = 17,177.06 × 17,177.06
  4. Step 4: Simplify right side
    11,912.06x = 295,051,476.13
  5. Step 5: Solve for x
    x = 295,051,476.13/11,912.06
  6. Step 6: Final answer
    x = 24,769.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.