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Finding the Third Proportional to 13,014 and 19,536

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Solution

The third proportional to 13,014 and 19,536 is: 29,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014 : 19,536 = 19,536 : x
  2. Step 2: Convert to fraction form
    13,014/19,536 = 19,536/x
  3. Step 3: Cross multiply
    13,014x = 19,536 × 19,536
  4. Step 4: Simplify right side
    13,014x = 381,655,296
  5. Step 5: Solve for x
    x = 381,655,296/13,014
  6. Step 6: Final answer
    x = 29,326.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.