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Finding the Third Proportional to 30,962.25 and 67,839.75

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Solution

The third proportional to 30,962.25 and 67,839.75 is: 148,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,962.25 : 67,839.75 = 67,839.75 : x
  2. Step 2: Convert to fraction form
    30,962.25/67,839.75 = 67,839.75/x
  3. Step 3: Cross multiply
    30,962.25x = 67,839.75 × 67,839.75
  4. Step 4: Simplify right side
    30,962.25x = 4,602,231,680.06
  5. Step 5: Solve for x
    x = 4,602,231,680.06/30,962.25
  6. Step 6: Final answer
    x = 148,640.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.