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Finding the Third Proportional to 30,204 and 43,938

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Solution

The third proportional to 30,204 and 43,938 is: 63,916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204 : 43,938 = 43,938 : x
  2. Step 2: Convert to fraction form
    30,204/43,938 = 43,938/x
  3. Step 3: Cross multiply
    30,204x = 43,938 × 43,938
  4. Step 4: Simplify right side
    30,204x = 1,930,547,844
  5. Step 5: Solve for x
    x = 1,930,547,844/30,204
  6. Step 6: Final answer
    x = 63,916.96

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.