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Finding the Third Proportional to 11,571.19 and 18,005.06

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Solution

The third proportional to 11,571.19 and 18,005.06 is: 28,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.19 : 18,005.06 = 18,005.06 : x
  2. Step 2: Convert to fraction form
    11,571.19/18,005.06 = 18,005.06/x
  3. Step 3: Cross multiply
    11,571.19x = 18,005.06 × 18,005.06
  4. Step 4: Simplify right side
    11,571.19x = 324,182,275.63
  5. Step 5: Solve for x
    x = 324,182,275.63/11,571.19
  6. Step 6: Final answer
    x = 28,016.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.