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Finding the Third Proportional to 13,657 and 20,850

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Solution

The third proportional to 13,657 and 20,850 is: 31,831.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657 : 20,850 = 20,850 : x
  2. Step 2: Convert to fraction form
    13,657/20,850 = 20,850/x
  3. Step 3: Cross multiply
    13,657x = 20,850 × 20,850
  4. Step 4: Simplify right side
    13,657x = 434,722,500
  5. Step 5: Solve for x
    x = 434,722,500/13,657
  6. Step 6: Final answer
    x = 31,831.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.