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Finding the Third Proportional to 7,940.25 and 16,907.63

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Solution

The third proportional to 7,940.25 and 16,907.63 is: 36,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.25 : 16,907.63 = 16,907.63 : x
  2. Step 2: Convert to fraction form
    7,940.25/16,907.63 = 16,907.63/x
  3. Step 3: Cross multiply
    7,940.25x = 16,907.63 × 16,907.63
  4. Step 4: Simplify right side
    7,940.25x = 285,867,783.14
  5. Step 5: Solve for x
    x = 285,867,783.14/7,940.25
  6. Step 6: Final answer
    x = 36,002.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.