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Finding the Third Proportional to 30,805 and 44,771

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Solution

The third proportional to 30,805 and 44,771 is: 65,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805 : 44,771 = 44,771 : x
  2. Step 2: Convert to fraction form
    30,805/44,771 = 44,771/x
  3. Step 3: Cross multiply
    30,805x = 44,771 × 44,771
  4. Step 4: Simplify right side
    30,805x = 2,004,442,441
  5. Step 5: Solve for x
    x = 2,004,442,441/30,805
  6. Step 6: Final answer
    x = 65,068.74

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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.