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Finding the Third Proportional to 30,666 and 67,883

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Solution

The third proportional to 30,666 and 67,883 is: 150,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,666 : 67,883 = 67,883 : x
  2. Step 2: Convert to fraction form
    30,666/67,883 = 67,883/x
  3. Step 3: Cross multiply
    30,666x = 67,883 × 67,883
  4. Step 4: Simplify right side
    30,666x = 4,608,101,689
  5. Step 5: Solve for x
    x = 4,608,101,689/30,666
  6. Step 6: Final answer
    x = 150,267.45

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.