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Finding the Third Proportional to 3,356.44 and 5,106.38

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Solution

The third proportional to 3,356.44 and 5,106.38 is: 7,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.44 : 5,106.38 = 5,106.38 : x
  2. Step 2: Convert to fraction form
    3,356.44/5,106.38 = 5,106.38/x
  3. Step 3: Cross multiply
    3,356.44x = 5,106.38 × 5,106.38
  4. Step 4: Simplify right side
    3,356.44x = 26,075,065.64
  5. Step 5: Solve for x
    x = 26,075,065.64/3,356.44
  6. Step 6: Final answer
    x = 7,768.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.