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Finding the Third Proportional to 35,474 and 54,569

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Solution

The third proportional to 35,474 and 54,569 is: 83,942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,474 : 54,569 = 54,569 : x
  2. Step 2: Convert to fraction form
    35,474/54,569 = 54,569/x
  3. Step 3: Cross multiply
    35,474x = 54,569 × 54,569
  4. Step 4: Simplify right side
    35,474x = 2,977,775,761
  5. Step 5: Solve for x
    x = 2,977,775,761/35,474
  6. Step 6: Final answer
    x = 83,942.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.