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Finding the Third Proportional to 13,462 and 14,677

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Solution

The third proportional to 13,462 and 14,677 is: 16,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462 : 14,677 = 14,677 : x
  2. Step 2: Convert to fraction form
    13,462/14,677 = 14,677/x
  3. Step 3: Cross multiply
    13,462x = 14,677 × 14,677
  4. Step 4: Simplify right side
    13,462x = 215,414,329
  5. Step 5: Solve for x
    x = 215,414,329/13,462
  6. Step 6: Final answer
    x = 16,001.66

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.