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Finding the Third Proportional to 4,518.94 and 10,075.41

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Solution

The third proportional to 4,518.94 and 10,075.41 is: 22,464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,518.94 : 10,075.41 = 10,075.41 : x
  2. Step 2: Convert to fraction form
    4,518.94/10,075.41 = 10,075.41/x
  3. Step 3: Cross multiply
    4,518.94x = 10,075.41 × 10,075.41
  4. Step 4: Simplify right side
    4,518.94x = 101,513,811.10
  5. Step 5: Solve for x
    x = 101,513,811.10/4,518.94
  6. Step 6: Final answer
    x = 22,464.09

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.