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Finding the Third Proportional to 20,169 and 43,938

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Solution

The third proportional to 20,169 and 43,938 is: 95,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,169 : 43,938 = 43,938 : x
  2. Step 2: Convert to fraction form
    20,169/43,938 = 43,938/x
  3. Step 3: Cross multiply
    20,169x = 43,938 × 43,938
  4. Step 4: Simplify right side
    20,169x = 1,930,547,844
  5. Step 5: Solve for x
    x = 1,930,547,844/20,169
  6. Step 6: Final answer
    x = 95,718.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.