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Finding the Third Proportional to 13,853.75 and 18,566.50

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Solution

The third proportional to 13,853.75 and 18,566.50 is: 24,882.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.75 : 18,566.50 = 18,566.50 : x
  2. Step 2: Convert to fraction form
    13,853.75/18,566.50 = 18,566.50/x
  3. Step 3: Cross multiply
    13,853.75x = 18,566.50 × 18,566.50
  4. Step 4: Simplify right side
    13,853.75x = 344,714,922.25
  5. Step 5: Solve for x
    x = 344,714,922.25/13,853.75
  6. Step 6: Final answer
    x = 24,882.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.