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Finding the Third Proportional to 16,201 and 20,702

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Solution

The third proportional to 16,201 and 20,702 is: 26,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201 : 20,702 = 20,702 : x
  2. Step 2: Convert to fraction form
    16,201/20,702 = 20,702/x
  3. Step 3: Cross multiply
    16,201x = 20,702 × 20,702
  4. Step 4: Simplify right side
    16,201x = 428,572,804
  5. Step 5: Solve for x
    x = 428,572,804/16,201
  6. Step 6: Final answer
    x = 26,453.48

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.