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Finding the Third Proportional to 30,850 and 67,760

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Solution

The third proportional to 30,850 and 67,760 is: 148,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850 : 67,760 = 67,760 : x
  2. Step 2: Convert to fraction form
    30,850/67,760 = 67,760/x
  3. Step 3: Cross multiply
    30,850x = 67,760 × 67,760
  4. Step 4: Simplify right side
    30,850x = 4,591,417,600
  5. Step 5: Solve for x
    x = 4,591,417,600/30,850
  6. Step 6: Final answer
    x = 148,830.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.