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Finding the Third Proportional to 35,245 and 54,659

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Solution

The third proportional to 35,245 and 54,659 is: 84,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,245 : 54,659 = 54,659 : x
  2. Step 2: Convert to fraction form
    35,245/54,659 = 54,659/x
  3. Step 3: Cross multiply
    35,245x = 54,659 × 54,659
  4. Step 4: Simplify right side
    35,245x = 2,987,606,281
  5. Step 5: Solve for x
    x = 2,987,606,281/35,245
  6. Step 6: Final answer
    x = 84,766.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.