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Finding the Third Proportional to 43,613.50 and 69,172.50

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Solution

The third proportional to 43,613.50 and 69,172.50 is: 109,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,613.50 : 69,172.50 = 69,172.50 : x
  2. Step 2: Convert to fraction form
    43,613.50/69,172.50 = 69,172.50/x
  3. Step 3: Cross multiply
    43,613.50x = 69,172.50 × 69,172.50
  4. Step 4: Simplify right side
    43,613.50x = 4,784,834,756.25
  5. Step 5: Solve for x
    x = 4,784,834,756.25/43,613.50
  6. Step 6: Final answer
    x = 109,709.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.