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Finding the Third Proportional to 13,860 and 16,308

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Solution

The third proportional to 13,860 and 16,308 is: 19,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860 : 16,308 = 16,308 : x
  2. Step 2: Convert to fraction form
    13,860/16,308 = 16,308/x
  3. Step 3: Cross multiply
    13,860x = 16,308 × 16,308
  4. Step 4: Simplify right side
    13,860x = 265,950,864
  5. Step 5: Solve for x
    x = 265,950,864/13,860
  6. Step 6: Final answer
    x = 19,188.37

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.