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Finding the Third Proportional to 14,392 and 21,524

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Solution

The third proportional to 14,392 and 21,524 is: 32,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,392 : 21,524 = 21,524 : x
  2. Step 2: Convert to fraction form
    14,392/21,524 = 21,524/x
  3. Step 3: Cross multiply
    14,392x = 21,524 × 21,524
  4. Step 4: Simplify right side
    14,392x = 463,282,576
  5. Step 5: Solve for x
    x = 463,282,576/14,392
  6. Step 6: Final answer
    x = 32,190.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.