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Finding the Third Proportional to 11,653.88 and 18,178.88

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Solution

The third proportional to 11,653.88 and 18,178.88 is: 28,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.88 : 18,178.88 = 18,178.88 : x
  2. Step 2: Convert to fraction form
    11,653.88/18,178.88 = 18,178.88/x
  3. Step 3: Cross multiply
    11,653.88x = 18,178.88 × 18,178.88
  4. Step 4: Simplify right side
    11,653.88x = 330,471,496.27
  5. Step 5: Solve for x
    x = 330,471,496.27/11,653.88
  6. Step 6: Final answer
    x = 28,357.22

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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.