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Finding the Third Proportional to 31,669.50 and 67,225.50

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Solution

The third proportional to 31,669.50 and 67,225.50 is: 142,700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,669.50 : 67,225.50 = 67,225.50 : x
  2. Step 2: Convert to fraction form
    31,669.50/67,225.50 = 67,225.50/x
  3. Step 3: Cross multiply
    31,669.50x = 67,225.50 × 67,225.50
  4. Step 4: Simplify right side
    31,669.50x = 4,519,267,850.25
  5. Step 5: Solve for x
    x = 4,519,267,850.25/31,669.50
  6. Step 6: Final answer
    x = 142,700.95

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.