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Finding the Third Proportional to 5,075 and 11,098

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Solution

The third proportional to 5,075 and 11,098 is: 24,269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075 : 11,098 = 11,098 : x
  2. Step 2: Convert to fraction form
    5,075/11,098 = 11,098/x
  3. Step 3: Cross multiply
    5,075x = 11,098 × 11,098
  4. Step 4: Simplify right side
    5,075x = 123,165,604
  5. Step 5: Solve for x
    x = 123,165,604/5,075
  6. Step 6: Final answer
    x = 24,269.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.