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Finding the Third Proportional to 30,969.50 and 67,954

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Solution

The third proportional to 30,969.50 and 67,954 is: 149,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.50 : 67,954 = 67,954 : x
  2. Step 2: Convert to fraction form
    30,969.50/67,954 = 67,954/x
  3. Step 3: Cross multiply
    30,969.50x = 67,954 × 67,954
  4. Step 4: Simplify right side
    30,969.50x = 4,617,746,116
  5. Step 5: Solve for x
    x = 4,617,746,116/30,969.50
  6. Step 6: Final answer
    x = 149,106.25

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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.