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Finding the Third Proportional to 37,107 and 51,907.50

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Solution

The third proportional to 37,107 and 51,907.50 is: 72,611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,107 : 51,907.50 = 51,907.50 : x
  2. Step 2: Convert to fraction form
    37,107/51,907.50 = 51,907.50/x
  3. Step 3: Cross multiply
    37,107x = 51,907.50 × 51,907.50
  4. Step 4: Simplify right side
    37,107x = 2,694,388,556.25
  5. Step 5: Solve for x
    x = 2,694,388,556.25/37,107
  6. Step 6: Final answer
    x = 72,611.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.