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Finding the Third Proportional to 34,137.70 and 51,303.38

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Solution

The third proportional to 34,137.70 and 51,303.38 is: 77,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,137.70 : 51,303.38 = 51,303.38 : x
  2. Step 2: Convert to fraction form
    34,137.70/51,303.38 = 51,303.38/x
  3. Step 3: Cross multiply
    34,137.70x = 51,303.38 × 51,303.38
  4. Step 4: Simplify right side
    34,137.70x = 2,632,036,286.39
  5. Step 5: Solve for x
    x = 2,632,036,286.39/34,137.70
  6. Step 6: Final answer
    x = 77,100.57

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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.