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Finding the Third Proportional to 16,189 and 23,702

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Solution

The third proportional to 16,189 and 23,702 is: 34,701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189 : 23,702 = 23,702 : x
  2. Step 2: Convert to fraction form
    16,189/23,702 = 23,702/x
  3. Step 3: Cross multiply
    16,189x = 23,702 × 23,702
  4. Step 4: Simplify right side
    16,189x = 561,784,804
  5. Step 5: Solve for x
    x = 561,784,804/16,189
  6. Step 6: Final answer
    x = 34,701.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.