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Finding the Third Proportional to 12,726 and 16,735

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Solution

The third proportional to 12,726 and 16,735 is: 22,006.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726 : 16,735 = 16,735 : x
  2. Step 2: Convert to fraction form
    12,726/16,735 = 16,735/x
  3. Step 3: Cross multiply
    12,726x = 16,735 × 16,735
  4. Step 4: Simplify right side
    12,726x = 280,060,225
  5. Step 5: Solve for x
    x = 280,060,225/12,726
  6. Step 6: Final answer
    x = 22,006.93

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.