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Finding the Third Proportional to 43,874 and 64,173

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Solution

The third proportional to 43,874 and 64,173 is: 93,863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,874 : 64,173 = 64,173 : x
  2. Step 2: Convert to fraction form
    43,874/64,173 = 64,173/x
  3. Step 3: Cross multiply
    43,874x = 64,173 × 64,173
  4. Step 4: Simplify right side
    43,874x = 4,118,173,929
  5. Step 5: Solve for x
    x = 4,118,173,929/43,874
  6. Step 6: Final answer
    x = 93,863.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.