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Finding the Third Proportional to 13,468 and 20,278

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Solution

The third proportional to 13,468 and 20,278 is: 30,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468 : 20,278 = 20,278 : x
  2. Step 2: Convert to fraction form
    13,468/20,278 = 20,278/x
  3. Step 3: Cross multiply
    13,468x = 20,278 × 20,278
  4. Step 4: Simplify right side
    13,468x = 411,197,284
  5. Step 5: Solve for x
    x = 411,197,284/13,468
  6. Step 6: Final answer
    x = 30,531.43

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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.