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Finding the Third Proportional to 28,614 and 44,727

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Solution

The third proportional to 28,614 and 44,727 is: 69,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,614 : 44,727 = 44,727 : x
  2. Step 2: Convert to fraction form
    28,614/44,727 = 44,727/x
  3. Step 3: Cross multiply
    28,614x = 44,727 × 44,727
  4. Step 4: Simplify right side
    28,614x = 2,000,504,529
  5. Step 5: Solve for x
    x = 2,000,504,529/28,614
  6. Step 6: Final answer
    x = 69,913.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.