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Finding the Third Proportional to 13,964.25 and 19,533

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Solution

The third proportional to 13,964.25 and 19,533 is: 27,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964.25 : 19,533 = 19,533 : x
  2. Step 2: Convert to fraction form
    13,964.25/19,533 = 19,533/x
  3. Step 3: Cross multiply
    13,964.25x = 19,533 × 19,533
  4. Step 4: Simplify right side
    13,964.25x = 381,538,089
  5. Step 5: Solve for x
    x = 381,538,089/13,964.25
  6. Step 6: Final answer
    x = 27,322.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.