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Finding the Third Proportional to 13,644 and 19,309

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Solution

The third proportional to 13,644 and 19,309 is: 27,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644 : 19,309 = 19,309 : x
  2. Step 2: Convert to fraction form
    13,644/19,309 = 19,309/x
  3. Step 3: Cross multiply
    13,644x = 19,309 × 19,309
  4. Step 4: Simplify right side
    13,644x = 372,837,481
  5. Step 5: Solve for x
    x = 372,837,481/13,644
  6. Step 6: Final answer
    x = 27,326.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.