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Finding the Third Proportional to 728 and 1,938

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Solution

The third proportional to 728 and 1,938 is: 5,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    728 : 1,938 = 1,938 : x
  2. Step 2: Convert to fraction form
    728/1,938 = 1,938/x
  3. Step 3: Cross multiply
    728x = 1,938 × 1,938
  4. Step 4: Simplify right side
    728x = 3,755,844
  5. Step 5: Solve for x
    x = 3,755,844/728
  6. Step 6: Final answer
    x = 5,159.13

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.