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Finding the Third Proportional to 3,075.47 and 7,039.41

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Solution

The third proportional to 3,075.47 and 7,039.41 is: 16,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.47 : 7,039.41 = 7,039.41 : x
  2. Step 2: Convert to fraction form
    3,075.47/7,039.41 = 7,039.41/x
  3. Step 3: Cross multiply
    3,075.47x = 7,039.41 × 7,039.41
  4. Step 4: Simplify right side
    3,075.47x = 49,553,240.35
  5. Step 5: Solve for x
    x = 49,553,240.35/3,075.47
  6. Step 6: Final answer
    x = 16,112.42

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.