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Finding the Third Proportional to 43,677 and 94,770

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Solution

The third proportional to 43,677 and 94,770 is: 205,631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,677 : 94,770 = 94,770 : x
  2. Step 2: Convert to fraction form
    43,677/94,770 = 94,770/x
  3. Step 3: Cross multiply
    43,677x = 94,770 × 94,770
  4. Step 4: Simplify right side
    43,677x = 8,981,352,900
  5. Step 5: Solve for x
    x = 8,981,352,900/43,677
  6. Step 6: Final answer
    x = 205,631.18

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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.