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Finding the Third Proportional to 24,267.38 and 51,907.50

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Solution

The third proportional to 24,267.38 and 51,907.50 is: 111,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,267.38 : 51,907.50 = 51,907.50 : x
  2. Step 2: Convert to fraction form
    24,267.38/51,907.50 = 51,907.50/x
  3. Step 3: Cross multiply
    24,267.38x = 51,907.50 × 51,907.50
  4. Step 4: Simplify right side
    24,267.38x = 2,694,388,556.25
  5. Step 5: Solve for x
    x = 2,694,388,556.25/24,267.38
  6. Step 6: Final answer
    x = 111,029.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.