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Finding the Third Proportional to 30,331 and 44,009

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Solution

The third proportional to 30,331 and 44,009 is: 63,855.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,331 : 44,009 = 44,009 : x
  2. Step 2: Convert to fraction form
    30,331/44,009 = 44,009/x
  3. Step 3: Cross multiply
    30,331x = 44,009 × 44,009
  4. Step 4: Simplify right side
    30,331x = 1,936,792,081
  5. Step 5: Solve for x
    x = 1,936,792,081/30,331
  6. Step 6: Final answer
    x = 63,855.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.