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Finding the Third Proportional to 2,399.98 and 3,756.69

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Solution

The third proportional to 2,399.98 and 3,756.69 is: 5,880.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.98 : 3,756.69 = 3,756.69 : x
  2. Step 2: Convert to fraction form
    2,399.98/3,756.69 = 3,756.69/x
  3. Step 3: Cross multiply
    2,399.98x = 3,756.69 × 3,756.69
  4. Step 4: Simplify right side
    2,399.98x = 14,112,730.32
  5. Step 5: Solve for x
    x = 14,112,730.32/2,399.98
  6. Step 6: Final answer
    x = 5,880.36

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.