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Finding the Third Proportional to 12,744 and 14,596

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Solution

The third proportional to 12,744 and 14,596 is: 16,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744 : 14,596 = 14,596 : x
  2. Step 2: Convert to fraction form
    12,744/14,596 = 14,596/x
  3. Step 3: Cross multiply
    12,744x = 14,596 × 14,596
  4. Step 4: Simplify right side
    12,744x = 213,043,216
  5. Step 5: Solve for x
    x = 213,043,216/12,744
  6. Step 6: Final answer
    x = 16,717.14

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.