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Finding the Third Proportional to 13,633 and 18,319

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Solution

The third proportional to 13,633 and 18,319 is: 24,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633 : 18,319 = 18,319 : x
  2. Step 2: Convert to fraction form
    13,633/18,319 = 18,319/x
  3. Step 3: Cross multiply
    13,633x = 18,319 × 18,319
  4. Step 4: Simplify right side
    13,633x = 335,585,761
  5. Step 5: Solve for x
    x = 335,585,761/13,633
  6. Step 6: Final answer
    x = 24,615.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.