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Finding the Third Proportional to 20,182 and 46,899

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Solution

The third proportional to 20,182 and 46,899 is: 108,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182 : 46,899 = 46,899 : x
  2. Step 2: Convert to fraction form
    20,182/46,899 = 46,899/x
  3. Step 3: Cross multiply
    20,182x = 46,899 × 46,899
  4. Step 4: Simplify right side
    20,182x = 2,199,516,201
  5. Step 5: Solve for x
    x = 2,199,516,201/20,182
  6. Step 6: Final answer
    x = 108,984.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.