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Finding the Third Proportional to 44,623 and 71,745

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Solution

The third proportional to 44,623 and 71,745 is: 115,351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,623 : 71,745 = 71,745 : x
  2. Step 2: Convert to fraction form
    44,623/71,745 = 71,745/x
  3. Step 3: Cross multiply
    44,623x = 71,745 × 71,745
  4. Step 4: Simplify right side
    44,623x = 5,147,345,025
  5. Step 5: Solve for x
    x = 5,147,345,025/44,623
  6. Step 6: Final answer
    x = 115,351.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.