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Finding the Third Proportional to 14,190 and 21,483

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Solution

The third proportional to 14,190 and 21,483 is: 32,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,190 : 21,483 = 21,483 : x
  2. Step 2: Convert to fraction form
    14,190/21,483 = 21,483/x
  3. Step 3: Cross multiply
    14,190x = 21,483 × 21,483
  4. Step 4: Simplify right side
    14,190x = 461,519,289
  5. Step 5: Solve for x
    x = 461,519,289/14,190
  6. Step 6: Final answer
    x = 32,524.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.