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Finding the Third Proportional to 13,206 and 14,718

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Solution

The third proportional to 13,206 and 14,718 is: 16,403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206 : 14,718 = 14,718 : x
  2. Step 2: Convert to fraction form
    13,206/14,718 = 14,718/x
  3. Step 3: Cross multiply
    13,206x = 14,718 × 14,718
  4. Step 4: Simplify right side
    13,206x = 216,619,524
  5. Step 5: Solve for x
    x = 216,619,524/13,206
  6. Step 6: Final answer
    x = 16,403.11

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.