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Finding the Third Proportional to 9,853.88 and 13,858.88

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Solution

The third proportional to 9,853.88 and 13,858.88 is: 19,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.88 : 13,858.88 = 13,858.88 : x
  2. Step 2: Convert to fraction form
    9,853.88/13,858.88 = 13,858.88/x
  3. Step 3: Cross multiply
    9,853.88x = 13,858.88 × 13,858.88
  4. Step 4: Simplify right side
    9,853.88x = 192,068,416.27
  5. Step 5: Solve for x
    x = 192,068,416.27/9,853.88
  6. Step 6: Final answer
    x = 19,491.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.