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Finding the Third Proportional to 34,206.05 and 51,172.38

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Solution

The third proportional to 34,206.05 and 51,172.38 is: 76,554.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206.05 : 51,172.38 = 51,172.38 : x
  2. Step 2: Convert to fraction form
    34,206.05/51,172.38 = 51,172.38/x
  3. Step 3: Cross multiply
    34,206.05x = 51,172.38 × 51,172.38
  4. Step 4: Simplify right side
    34,206.05x = 2,618,612,762.71
  5. Step 5: Solve for x
    x = 2,618,612,762.71/34,206.05
  6. Step 6: Final answer
    x = 76,554.09

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