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Finding the Third Proportional to 43,314 and 64,794

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Solution

The third proportional to 43,314 and 64,794 is: 96,926.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,314 : 64,794 = 64,794 : x
  2. Step 2: Convert to fraction form
    43,314/64,794 = 64,794/x
  3. Step 3: Cross multiply
    43,314x = 64,794 × 64,794
  4. Step 4: Simplify right side
    43,314x = 4,198,262,436
  5. Step 5: Solve for x
    x = 4,198,262,436/43,314
  6. Step 6: Final answer
    x = 96,926.22

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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.