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Finding the Third Proportional to 30,926.50 and 67,469

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Solution

The third proportional to 30,926.50 and 67,469 is: 147,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,926.50 : 67,469 = 67,469 : x
  2. Step 2: Convert to fraction form
    30,926.50/67,469 = 67,469/x
  3. Step 3: Cross multiply
    30,926.50x = 67,469 × 67,469
  4. Step 4: Simplify right side
    30,926.50x = 4,552,065,961
  5. Step 5: Solve for x
    x = 4,552,065,961/30,926.50
  6. Step 6: Final answer
    x = 147,189.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.