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Finding the Third Proportional to 43,674 and 94,692

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Solution

The third proportional to 43,674 and 94,692 is: 205,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,674 : 94,692 = 94,692 : x
  2. Step 2: Convert to fraction form
    43,674/94,692 = 94,692/x
  3. Step 3: Cross multiply
    43,674x = 94,692 × 94,692
  4. Step 4: Simplify right side
    43,674x = 8,966,574,864
  5. Step 5: Solve for x
    x = 8,966,574,864/43,674
  6. Step 6: Final answer
    x = 205,306.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.