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Finding the Third Proportional to 35,279 and 52,913

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Solution

The third proportional to 35,279 and 52,913 is: 79,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,279 : 52,913 = 52,913 : x
  2. Step 2: Convert to fraction form
    35,279/52,913 = 52,913/x
  3. Step 3: Cross multiply
    35,279x = 52,913 × 52,913
  4. Step 4: Simplify right side
    35,279x = 2,799,785,569
  5. Step 5: Solve for x
    x = 2,799,785,569/35,279
  6. Step 6: Final answer
    x = 79,361.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.