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Finding the Third Proportional to 31,551.50 and 67,480.50

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Solution

The third proportional to 31,551.50 and 67,480.50 is: 144,323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,551.50 : 67,480.50 = 67,480.50 : x
  2. Step 2: Convert to fraction form
    31,551.50/67,480.50 = 67,480.50/x
  3. Step 3: Cross multiply
    31,551.50x = 67,480.50 × 67,480.50
  4. Step 4: Simplify right side
    31,551.50x = 4,553,617,880.25
  5. Step 5: Solve for x
    x = 4,553,617,880.25/31,551.50
  6. Step 6: Final answer
    x = 144,323.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.