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Finding the Third Proportional to 5,075.16 and 10,555.31

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Solution

The third proportional to 5,075.16 and 10,555.31 is: 21,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.16 : 10,555.31 = 10,555.31 : x
  2. Step 2: Convert to fraction form
    5,075.16/10,555.31 = 10,555.31/x
  3. Step 3: Cross multiply
    5,075.16x = 10,555.31 × 10,555.31
  4. Step 4: Simplify right side
    5,075.16x = 111,414,621.97
  5. Step 5: Solve for x
    x = 111,414,621.97/5,075.16
  6. Step 6: Final answer
    x = 21,952.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.