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Finding the Third Proportional to 14,226 and 20,490

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Solution

The third proportional to 14,226 and 20,490 is: 29,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226 : 20,490 = 20,490 : x
  2. Step 2: Convert to fraction form
    14,226/20,490 = 20,490/x
  3. Step 3: Cross multiply
    14,226x = 20,490 × 20,490
  4. Step 4: Simplify right side
    14,226x = 419,840,100
  5. Step 5: Solve for x
    x = 419,840,100/14,226
  6. Step 6: Final answer
    x = 29,512.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.