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Finding the Third Proportional to 43,984 and 96,034

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Solution

The third proportional to 43,984 and 96,034 is: 209,679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,984 : 96,034 = 96,034 : x
  2. Step 2: Convert to fraction form
    43,984/96,034 = 96,034/x
  3. Step 3: Cross multiply
    43,984x = 96,034 × 96,034
  4. Step 4: Simplify right side
    43,984x = 9,222,529,156
  5. Step 5: Solve for x
    x = 9,222,529,156/43,984
  6. Step 6: Final answer
    x = 209,679.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.