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Finding the Third Proportional to 39,728 and 57,940

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Solution

The third proportional to 39,728 and 57,940 is: 84,500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,728 : 57,940 = 57,940 : x
  2. Step 2: Convert to fraction form
    39,728/57,940 = 57,940/x
  3. Step 3: Cross multiply
    39,728x = 57,940 × 57,940
  4. Step 4: Simplify right side
    39,728x = 3,357,043,600
  5. Step 5: Solve for x
    x = 3,357,043,600/39,728
  6. Step 6: Final answer
    x = 84,500.69

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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.