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Finding the Third Proportional to 43,776 and 94,644

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Solution

The third proportional to 43,776 and 94,644 is: 204,620.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,776 : 94,644 = 94,644 : x
  2. Step 2: Convert to fraction form
    43,776/94,644 = 94,644/x
  3. Step 3: Cross multiply
    43,776x = 94,644 × 94,644
  4. Step 4: Simplify right side
    43,776x = 8,957,486,736
  5. Step 5: Solve for x
    x = 8,957,486,736/43,776
  6. Step 6: Final answer
    x = 204,620.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.