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Finding the Third Proportional to 3,735.18 and 5,075.47

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Solution

The third proportional to 3,735.18 and 5,075.47 is: 6,896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.18 : 5,075.47 = 5,075.47 : x
  2. Step 2: Convert to fraction form
    3,735.18/5,075.47 = 5,075.47/x
  3. Step 3: Cross multiply
    3,735.18x = 5,075.47 × 5,075.47
  4. Step 4: Simplify right side
    3,735.18x = 25,760,422.68
  5. Step 5: Solve for x
    x = 25,760,422.68/3,735.18
  6. Step 6: Final answer
    x = 6,896.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.