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Finding the Third Proportional to 19,674 and 43,235

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Solution

The third proportional to 19,674 and 43,235 is: 95,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674 : 43,235 = 43,235 : x
  2. Step 2: Convert to fraction form
    19,674/43,235 = 43,235/x
  3. Step 3: Cross multiply
    19,674x = 43,235 × 43,235
  4. Step 4: Simplify right side
    19,674x = 1,869,265,225
  5. Step 5: Solve for x
    x = 1,869,265,225/19,674
  6. Step 6: Final answer
    x = 95,011.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.