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Finding the Third Proportional to 35,882 and 55,337

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Solution

The third proportional to 35,882 and 55,337 is: 85,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882 : 55,337 = 55,337 : x
  2. Step 2: Convert to fraction form
    35,882/55,337 = 55,337/x
  3. Step 3: Cross multiply
    35,882x = 55,337 × 55,337
  4. Step 4: Simplify right side
    35,882x = 3,062,183,569
  5. Step 5: Solve for x
    x = 3,062,183,569/35,882
  6. Step 6: Final answer
    x = 85,340.38

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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.