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Finding the Third Proportional to 34,206.75 and 51,172.50

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Solution

The third proportional to 34,206.75 and 51,172.50 is: 76,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206.75 : 51,172.50 = 51,172.50 : x
  2. Step 2: Convert to fraction form
    34,206.75/51,172.50 = 51,172.50/x
  3. Step 3: Cross multiply
    34,206.75x = 51,172.50 × 51,172.50
  4. Step 4: Simplify right side
    34,206.75x = 2,618,624,756.25
  5. Step 5: Solve for x
    x = 2,618,624,756.25/34,206.75
  6. Step 6: Final answer
    x = 76,552.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.