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Finding the Third Proportional to 45,806 and 65,349

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Solution

The third proportional to 45,806 and 65,349 is: 93,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,806 : 65,349 = 65,349 : x
  2. Step 2: Convert to fraction form
    45,806/65,349 = 65,349/x
  3. Step 3: Cross multiply
    45,806x = 65,349 × 65,349
  4. Step 4: Simplify right side
    45,806x = 4,270,491,801
  5. Step 5: Solve for x
    x = 4,270,491,801/45,806
  6. Step 6: Final answer
    x = 93,229.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.