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Finding the Third Proportional to 44,732 and 71,914

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Solution

The third proportional to 44,732 and 71,914 is: 115,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,732 : 71,914 = 71,914 : x
  2. Step 2: Convert to fraction form
    44,732/71,914 = 71,914/x
  3. Step 3: Cross multiply
    44,732x = 71,914 × 71,914
  4. Step 4: Simplify right side
    44,732x = 5,171,623,396
  5. Step 5: Solve for x
    x = 5,171,623,396/44,732
  6. Step 6: Final answer
    x = 115,613.51

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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.