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Finding the Third Proportional to 14,415 and 18,419

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Solution

The third proportional to 14,415 and 18,419 is: 23,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415 : 18,419 = 18,419 : x
  2. Step 2: Convert to fraction form
    14,415/18,419 = 18,419/x
  3. Step 3: Cross multiply
    14,415x = 18,419 × 18,419
  4. Step 4: Simplify right side
    14,415x = 339,259,561
  5. Step 5: Solve for x
    x = 339,259,561/14,415
  6. Step 6: Final answer
    x = 23,535.18

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.