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Finding the Third Proportional to 14,122 and 18,319

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Solution

The third proportional to 14,122 and 18,319 is: 23,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122 : 18,319 = 18,319 : x
  2. Step 2: Convert to fraction form
    14,122/18,319 = 18,319/x
  3. Step 3: Cross multiply
    14,122x = 18,319 × 18,319
  4. Step 4: Simplify right side
    14,122x = 335,585,761
  5. Step 5: Solve for x
    x = 335,585,761/14,122
  6. Step 6: Final answer
    x = 23,763.33

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.