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Finding the Third Proportional to 12,586 and 16,440

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Solution

The third proportional to 12,586 and 16,440 is: 21,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586 : 16,440 = 16,440 : x
  2. Step 2: Convert to fraction form
    12,586/16,440 = 16,440/x
  3. Step 3: Cross multiply
    12,586x = 16,440 × 16,440
  4. Step 4: Simplify right side
    12,586x = 270,273,600
  5. Step 5: Solve for x
    x = 270,273,600/12,586
  6. Step 6: Final answer
    x = 21,474.15

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.