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Finding the Third Proportional to 4,998.52 and 11,571.75

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Solution

The third proportional to 4,998.52 and 11,571.75 is: 26,789.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998.52 : 11,571.75 = 11,571.75 : x
  2. Step 2: Convert to fraction form
    4,998.52/11,571.75 = 11,571.75/x
  3. Step 3: Cross multiply
    4,998.52x = 11,571.75 × 11,571.75
  4. Step 4: Simplify right side
    4,998.52x = 133,905,398.06
  5. Step 5: Solve for x
    x = 133,905,398.06/4,998.52
  6. Step 6: Final answer
    x = 26,789.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.