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Finding the Third Proportional to 30,839.25 and 67,246.50

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Solution

The third proportional to 30,839.25 and 67,246.50 is: 146,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,839.25 : 67,246.50 = 67,246.50 : x
  2. Step 2: Convert to fraction form
    30,839.25/67,246.50 = 67,246.50/x
  3. Step 3: Cross multiply
    30,839.25x = 67,246.50 × 67,246.50
  4. Step 4: Simplify right side
    30,839.25x = 4,522,091,762.25
  5. Step 5: Solve for x
    x = 4,522,091,762.25/30,839.25
  6. Step 6: Final answer
    x = 146,634.30

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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.