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Finding the Third Proportional to 30,762 and 44,676

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Solution

The third proportional to 30,762 and 44,676 is: 64,883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762 : 44,676 = 44,676 : x
  2. Step 2: Convert to fraction form
    30,762/44,676 = 44,676/x
  3. Step 3: Cross multiply
    30,762x = 44,676 × 44,676
  4. Step 4: Simplify right side
    30,762x = 1,995,944,976
  5. Step 5: Solve for x
    x = 1,995,944,976/30,762
  6. Step 6: Final answer
    x = 64,883.46

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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.